879581379600 has 2025 divisors, whose sum is σ = 4053681703799. Its totient is φ = 176467737600.

The previous prime is 879581379587. The next prime is 879581379613. The reversal of 879581379600 is 6973185978.

The square root of 879581379600 is 937860.

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

879581379600 is a `hidden beast` number, since 8 + 7 + 9 + 5 + 8 + 13 + 7 + 9 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (879581379587) and next prime (879581379613).

It can be written as a sum of positive squares in 4 ways, for example, as 12090321936 + 867491057664 = 109956^2 + 931392^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 30330392386 + ... + 30330392414.

Almost surely, 2^879581379600 is an apocalyptic number.

879581379600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

879581379600 is the 937860-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 879581379600

879581379600 is an abundant number, since it is smaller than the sum of its proper divisors (3174100324199).

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

879581379600 is a wasteful number, since it uses less digits than its factorization.

879581379600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 879581379600 in words is "eight hundred seventy-nine billion, five hundred eighty-one million, three hundred seventy-nine thousand, six hundred".