787996957440 has 864 divisors, whose sum is σ = 3332747690496. Its totient is φ = 156611051520.

The previous prime is 787996957427. The next prime is 787996957441. The reversal of 787996957440 is 44759699787.

It is a super-3 number, since 3×787996957440³ (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (787996957441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47596204 + ... + 47612756.

It is an arithmetic number, because the mean of its divisors is an integer number (3857346864).

Almost surely, 2^787996957440 is an apocalyptic number.

787996957440 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 787996957440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666373845248).

787996957440 is an abundant number, since it is smaller than the sum of its proper divisors (2544750733056).

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

787996957440 is a wasteful number, since it uses less digits than its factorization.

787996957440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16625 (or 16604 counting only the distinct ones).

The product of its (nonzero) digits is 960180480, while the sum is 75.

The spelling of 787996957440 in words is "seven hundred eighty-seven billion, nine hundred ninety-six million, nine hundred fifty-seven thousand, four hundred forty".