879056256400 has 405 divisors, whose sum is σ = 2538957826377. Its totient is φ = 291624883200.

The previous prime is 879056256283. The next prime is 879056256413. The reversal of 879056256400 is 4652650978.

The square root of 879056256400 is 937580.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 733962304656 + 145093951744 = 856716^2 + 380912^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4856664310 + ... + 4856664490.

Almost surely, 2^879056256400 is an apocalyptic number.

879056256400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

879056256400 is the 937580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 879056256400

879056256400 is an abundant number, since it is smaller than the sum of its proper divisors (1659901569977).

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

879056256400 is a wasteful number, since it uses less digits than its factorization.

879056256400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 52.

The spelling of 879056256400 in words is "eight hundred seventy-nine billion, fifty-six million, two hundred fifty-six thousand, four hundred".