879840518400 has 324 divisors, whose sum is σ = 3166491706560. Its totient is φ = 233068032000.

The previous prime is 879840518383. The next prime is 879840518407. The reversal of 879840518400 is 4815048978.

879840518400 is a `hidden beast` number, since 8 + 7 + 9 + 84 + 0 + 518 + 40 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (879840518407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8647021 + ... + 8748179.

Almost surely, 2^879840518400 is an apocalyptic number.

879840518400 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 879840518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583245853280).

879840518400 is an abundant number, since it is smaller than the sum of its proper divisors (2286651188160).

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

879840518400 is a wasteful number, since it uses less digits than its factorization.

879840518400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101342 (or 101320 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 879840518400 in words is "eight hundred seventy-nine billion, eight hundred forty million, five hundred eighteen thousand, four hundred".