77366880 has 96 divisors (see below), whose sum is σ = 270799200. Its totient is φ = 20630016.

The previous prime is 77366869. The next prime is 77366921. The reversal of 77366880 is 8866377.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4635 + ... + 13274.

It is an arithmetic number, because the mean of its divisors is an integer number (2820825).

Almost surely, 2^77366880 is an apocalyptic number.

It is an amenable number.

77366880 is an abundant number, since it is smaller than the sum of its proper divisors (193432320).

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

77366880 is a wasteful number, since it uses less digits than its factorization.

77366880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17933 (or 17919 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 77366880 is about 8795.8444733863. The cubic root of 77366880 is about 426.1066981298.

The spelling of 77366880 in words is "seventy-seven million, three hundred sixty-six thousand, eight hundred eighty".