788074560 has 672 divisors, whose sum is σ = 3479304192. Its totient is φ = 159252480.

The previous prime is 788074549. The next prime is 788074577. The reversal of 788074560 is 65470887.

788074560 is a `hidden beast` number, since 7 + 8 + 80 + 7 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×788074560³ (a number of 28 digits) contains 333 as substring.

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 95 ways as a sum of consecutive naturals, for example, 8124432 + ... + 8124528.

It is an arithmetic number, because the mean of its divisors is an integer number (5177536).

Almost surely, 2^788074560 is an apocalyptic number.

788074560 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 788074560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739652096).

788074560 is an abundant number, since it is smaller than the sum of its proper divisors (2691229632).

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

788074560 is a wasteful number, since it uses less digits than its factorization.

788074560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 788074560 is about 28072.6657088350. The cubic root of 788074560 is about 923.6819054607.

The spelling of 788074560 in words is "seven hundred eighty-eight million, seventy-four thousand, five hundred sixty".