879600136900 has 27 divisors (see below), whose sum is σ = 1908752649069. Its totient is φ = 351836303280.

The previous prime is 879600136897. The next prime is 879600136903. The reversal of 879600136900 is 9631006978.

The square root of 879600136900 is 937870.

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

It is an interprime number because it is at equal distance from previous prime (879600136897) and next prime (879600136903).

It can be written as a sum of positive squares in only one way, i.e., 316656049284 + 562944087616 = 562722^2 + 750296^2 .

It is a super-2 number, since 2×879600136900² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (879600136903) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 9331807 + ... + 9425593.

Almost surely, 2^879600136900 is an apocalyptic number.

879600136900 is the 937870-th square number.

It is an amenable number.

879600136900 is an abundant number, since it is smaller than the sum of its proper divisors (1029152512169).

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

879600136900 is an frugal number, since it uses more digits than its factorization.

879600136900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187588 (or 93794 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 49.

Multiplying 879600136900 by its sum of digits (49), we get a square (43100406708100 = 6565090²).

The spelling of 879600136900 in words is "eight hundred seventy-nine billion, six hundred million, one hundred thirty-six thousand, nine hundred".