77639582000 has 160 divisors (see below), whose sum is σ = 200068337664. Its totient is φ = 29072736000.

The previous prime is 77639581993. The next prime is 77639582077. The reversal of 77639582000 is 28593677.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2144045 + ... + 2179955.

Almost surely, 2^77639582000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77639582000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100034168832).

77639582000 is an abundant number, since it is smaller than the sum of its proper divisors (122428755664).

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

77639582000 is a wasteful number, since it uses less digits than its factorization.

77639582000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36004 (or 35988 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 47.

The spelling of 77639582000 in words is "seventy-seven billion, six hundred thirty-nine million, five hundred eighty-two thousand".