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790776648 = 233319918397
BaseRepresentation
bin101111001000100…
…100101101001000
32001002222121122000
4233020210231020
53104414323043
6210245031000
725411330164
oct5710445510
92032877560
10790776648
11376411222
121a09b5460
13c7aa399c
1477047ca4
15496542d3
hex2f224b48

790776648 has 64 divisors (see below), whose sum is σ = 2207760000. Its totient is φ = 262253376.

The previous prime is 790776647. The next prime is 790776667. The reversal of 790776648 is 846677097.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 790776594 and 790776603.

It is not an unprimeable number, because it can be changed into a prime (790776643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33786 + ... + 52182.

It is an arithmetic number, because the mean of its divisors is an integer number (34496250).

Almost surely, 2790776648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 790776648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103880000).

790776648 is an abundant number, since it is smaller than the sum of its proper divisors (1416983352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

790776648 is a wasteful number, since it uses less digits than its factorization.

790776648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18611 (or 18601 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The square root of 790776648 is about 28120.7511990701. The cubic root of 790776648 is about 924.7363838028.

The spelling of 790776648 in words is "seven hundred ninety million, seven hundred seventy-six thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 199 216 398 597 796 1194 1592 1791 2388 3582 4776 5373 7164 10746 14328 18397 21492 36794 42984 55191 73588 110382 147176 165573 220764 331146 441528 496719 662292 993438 1324584 1986876 3661003 3973752 7322006 10983009 14644012 21966018 29288024 32949027 43932036 65898054 87864072 98847081 131796108 197694162 263592216 395388324 790776648