879492415360 has 512 divisors, whose sum is σ = 2376203195520. Its totient is φ = 309162147840.

The previous prime is 879492415331. The next prime is 879492415421. The reversal of 879492415360 is 63514294978.

879492415360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 879492415295 and 879492415304.

It is a congruent number.

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, 4556955424 + ... + 4556955616.

It is a 1-persistent number, because it is pandigital, but 2⋅879492415360 = 1758984830720 is not.

Almost surely, 2^879492415360 is an apocalyptic number.

879492415360 is a gapful number since it is divisible by the number (80) 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 879492415360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188101597760).

879492415360 is an abundant number, since it is smaller than the sum of its proper divisors (1496710780160).

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

879492415360 is a wasteful number, since it uses less digits than its factorization.

879492415360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 58.

The spelling of 879492415360 in words is "eight hundred seventy-nine billion, four hundred ninety-two million, four hundred fifteen thousand, three hundred sixty".