787801970400 has 576 divisors, whose sum is σ = 2782846886400. Its totient is φ = 192955392000.

The previous prime is 787801970387. The next prime is 787801970441. The reversal of 787801970400 is 4079108787.

It is a super-2 number, since 2×787801970400² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 197491606 + ... + 197495594.

It is an arithmetic number, because the mean of its divisors is an integer number (4831331400).

Almost surely, 2^787801970400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 787801970400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391423443200).

787801970400 is an abundant number, since it is smaller than the sum of its proper divisors (1995044916000).

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

787801970400 is a wasteful number, since it uses less digits than its factorization.

787801970400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4163 (or 4150 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 51.

The spelling of 787801970400 in words is "seven hundred eighty-seven billion, eight hundred one million, nine hundred seventy thousand, four hundred".