787937525760 has 1024 divisors, whose sum is σ = 3188964556800. Its totient is φ = 161375846400.

The previous prime is 787937525731. The next prime is 787937525777. The reversal of 787937525760 is 67525739787.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 787937525691 and 787937525700.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4125327265 + ... + 4125327455.

It is an arithmetic number, because the mean of its divisors is an integer number (3114223200).

Almost surely, 2^787937525760 is an apocalyptic number.

787937525760 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 787937525760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594482278400).

787937525760 is an abundant number, since it is smaller than the sum of its proper divisors (2401027031040).

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

787937525760 is a wasteful number, since it uses less digits than its factorization.

787937525760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 155584800, while the sum is 66.

The spelling of 787937525760 in words is "seven hundred eighty-seven billion, nine hundred thirty-seven million, five hundred twenty-five thousand, seven hundred sixty".