77940900 has 72 divisors (see below), whose sum is σ = 250574240. Its totient is φ = 20783520.

The previous prime is 77940887. The next prime is 77940911. The reversal of 77940900 is 904977.

It is a super-3 number, since 3×77940900³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11734 + ... + 17133.

Almost surely, 2^77940900 is an apocalyptic number.

It is an amenable number.

77940900 is an abundant number, since it is smaller than the sum of its proper divisors (172633340).

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

77940900 is a wasteful number, since it uses less digits than its factorization.

77940900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28890 (or 28877 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 77940900 is about 8828.4143536651. The cubic root of 77940900 is about 427.1579288831.

The spelling of 77940900 in words is "seventy-seven million, nine hundred forty thousand, nine hundred".