879240683520 has 448 divisors, whose sum is σ = 3202407290880. Its totient is φ = 228733747200.

The previous prime is 879240683509. The next prime is 879240683579. The reversal of 879240683520 is 25386042978.

879240683520 is a `hidden beast` number, since 8 + 79 + 2 + 40 + 6 + 8 + 3 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45333025 + ... + 45352415.

It is an arithmetic number, because the mean of its divisors is an integer number (7148230560).

Almost surely, 2^879240683520 is an apocalyptic number.

879240683520 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 879240683520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601203645440).

879240683520 is an abundant number, since it is smaller than the sum of its proper divisors (2323166607360).

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

879240683520 is a wasteful number, since it uses less digits than its factorization.

879240683520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19472 (or 19442 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 879240683520 in words is "eight hundred seventy-nine billion, two hundred forty million, six hundred eighty-three thousand, five hundred twenty".