789479654400 has 330 divisors, whose sum is σ = 2923358016810. Its totient is φ = 210527354880.

The previous prime is 789479654347. The next prime is 789479654417. The reversal of 789479654400 is 4456974987.

789479654400 is a `hidden beast` number, since 7 + 8 + 94 + 7 + 96 + 54 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 40991671296 + 748487983104 = 202464^2 + 865152^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1883236 + ... + 2263964.

It is an arithmetic number, because the mean of its divisors is an integer number (8858660657).

Almost surely, 2^789479654400 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 789479654400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461679008405).

789479654400 is an abundant number, since it is smaller than the sum of its proper divisors (2133878362410).

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

789479654400 is a wasteful number, since it uses less digits than its factorization.

789479654400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380771 (or 380739 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 789479654400 in words is "seven hundred eighty-nine billion, four hundred seventy-nine million, six hundred fifty-four thousand, four hundred".