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790066368 = 263271315073
BaseRepresentation
bin101111000101110…
…111010011000000
32001001122112022100
4233011313103000
53104224110433
6210221510400
725402311330
oct5705672300
92031575270
10790066368
11375a76613
121a0712400
13c78b55c0
1476d010c0
1549563b13
hex2f1774c0

790066368 has 168 divisors, whose sum is σ = 2787363488. Its totient is φ = 208355328.

The previous prime is 790066357. The next prime is 790066369. The reversal of 790066368 is 863660097.

790066368 is a `hidden beast` number, since 7 + 9 + 0 + 0 + 6 + 636 + 8 = 666.

790066368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×7900663682 = 1248409731689422848, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (790066369) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44880 + ... + 59952.

Almost surely, 2790066368 is an apocalyptic number.

790066368 is a gapful number since it is divisible by the number (78) 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 790066368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393681744).

790066368 is an abundant number, since it is smaller than the sum of its proper divisors (1997297120).

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

790066368 is a wasteful number, since it uses less digits than its factorization.

790066368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15111 (or 15098 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 790066368 is about 28108.1192540518. The cubic root of 790066368 is about 924.4594330725.

The spelling of 790066368 in words is "seven hundred ninety million, sixty-six thousand, three hundred sixty-eight".