787972640 has 288 divisors, whose sum is σ = 2417216256. Its totient is φ = 237219840.

The previous prime is 787972639. The next prime is 787972673. The reversal of 787972640 is 46279787.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4353350 + ... + 4353530.

It is an arithmetic number, because the mean of its divisors is an integer number (8393112).

Almost surely, 2^787972640 is an apocalyptic number.

787972640 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 787972640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208608128).

787972640 is an abundant number, since it is smaller than the sum of its proper divisors (1629243616).

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

787972640 is a wasteful number, since it uses less digits than its factorization.

787972640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 50.

The square root of 787972640 is about 28070.8503611843. The cubic root of 787972640 is about 923.6420844745.

The spelling of 787972640 in words is "seven hundred eighty-seven million, nine hundred seventy-two thousand, six hundred forty".