788591026728960 has 2496 divisors, whose sum is σ = 3315830099484672. Its totient is φ = 158306477801472.

The previous prime is 788591026728943. The next prime is 788591026728977. The reversal of 788591026728960 is 69827620195887.

It is an interprime number because it is at equal distance from previous prime (788591026728943) and next prime (788591026728977).

It is a tau number, because it is divible by the number of its divisors (2496).

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 177331013457 + ... + 177331017903.

Almost surely, 2^{788591026728960} is an apocalyptic number.

788591026728960 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 788591026728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657915049742336).

788591026728960 is an abundant number, since it is smaller than the sum of its proper divisors (2527239072755712).

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

788591026728960 is a wasteful number, since it uses less digits than its factorization.

788591026728960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4726 (or 4697 counting only the distinct ones).

The product of its (nonzero) digits is 1463132160, while the sum is 78.

The spelling of 788591026728960 in words is "seven hundred eighty-eight trillion, five hundred ninety-one billion, twenty-six million, seven hundred twenty-eight thousand, nine hundred sixty".