788890752 has 192 divisors, whose sum is σ = 2536584960. Its totient is φ = 242611200.

The previous prime is 788890721. The next prime is 788890757. The reversal of 788890752 is 257098887.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×788890752² = 1244697237182251008, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (788890757) 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, 403377 + ... + 405327.

It is an arithmetic number, because the mean of its divisors is an integer number (13211380).

Almost surely, 2^788890752 is an apocalyptic number.

788890752 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 788890752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268292480).

788890752 is an abundant number, since it is smaller than the sum of its proper divisors (1747694208).

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

788890752 is a wasteful number, since it uses less digits than its factorization.

788890752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1993 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The square root of 788890752 is about 28087.1990771597. The cubic root of 788890752 is about 924.0006746495. Note that the first 3 decimals are identical.

The spelling of 788890752 in words is "seven hundred eighty-eight million, eight hundred ninety thousand, seven hundred fifty-two".