793255680 has 360 divisors, whose sum is σ = 3246869472. Its totient is φ = 181149696.

The previous prime is 793255667. The next prime is 793255721. The reversal of 793255680 is 86552397.

It is a happy number.

793255680 is a `hidden beast` number, since 7 + 93 + 2 + 556 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 725214 + ... + 726306.

Almost surely, 2^793255680 is an apocalyptic number.

793255680 is a gapful number since it is divisible by the number (70) 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 793255680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1623434736).

793255680 is an abundant number, since it is smaller than the sum of its proper divisors (2453613792).

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

793255680 is a wasteful number, since it uses less digits than its factorization.

793255680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 793255680 is about 28164.7950462985. The cubic root of 793255680 is about 925.7017047085.

The spelling of 793255680 in words is "seven hundred ninety-three million, two hundred fifty-five thousand, six hundred eighty".