Search a number
-
+
790860672 = 2734717641
BaseRepresentation
bin101111001000111…
…001001110000000
32001010010212220000
4233020321032000
53104430020142
6210250520000
725412130150
oct5710711600
92033125800
10790860672
11376469368
121a0a36000
13c7b02cc4
147706a760
154966e14c
hex2f239380

790860672 has 320 divisors, whose sum is σ = 2852483040. Its totient is φ = 212336640.

The previous prime is 790860661. The next prime is 790860673. The reversal of 790860672 is 276068097.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (790860673) 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 39 ways as a sum of consecutive naturals, for example, 1233472 + ... + 1234112.

Almost surely, 2790860672 is an apocalyptic number.

790860672 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 790860672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426241520).

790860672 is an abundant number, since it is smaller than the sum of its proper divisors (2061622368).

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

790860672 is a wasteful number, since it uses less digits than its factorization.

790860672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 790860672 is about 28122.2451450804. The cubic root of 790860672 is about 924.7691352750.

The spelling of 790860672 in words is "seven hundred ninety million, eight hundred sixty thousand, six hundred seventy-two".