77919139600 has 135 divisors (see below), whose sum is σ = 199102806301. Its totient is φ = 29298534400.

The previous prime is 77919139577. The next prime is 77919139621. The reversal of 77919139600 is 693191977.

The square root of 77919139600 is 279140.

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

It can be written as a sum of positive squares in 13 ways, for example, as 45323003664 + 32596135936 = 212892^2 + 180544^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 94907190 + ... + 94908010.

Almost surely, 2^77919139600 is an apocalyptic number.

77919139600 is the 279140-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77919139600

77919139600 is an abundant number, since it is smaller than the sum of its proper divisors (121183666701).

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

77919139600 is an equidigital number, since it uses as much as digits as its factorization.

77919139600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 642978, while the sum is 52.

The spelling of 77919139600 in words is "seventy-seven billion, nine hundred nineteen million, one hundred thirty-nine thousand, six hundred".