77377980 has 96 divisors (see below), whose sum is σ = 231081984. Its totient is φ = 19300864.

The previous prime is 77377973. The next prime is 77377981. The reversal of 77377980 is 8977377.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77377981) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64264 + ... + 65456.

It is an arithmetic number, because the mean of its divisors is an integer number (2407104).

Almost surely, 2^77377980 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 77377980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115540992).

77377980 is an abundant number, since it is smaller than the sum of its proper divisors (153704004).

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

77377980 is a wasteful number, since it uses less digits than its factorization.

77377980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 518616, while the sum is 48.

The square root of 77377980 is about 8796.4754305347. The cubic root of 77377980 is about 426.1270753169.

The spelling of 77377980 in words is "seventy-seven million, three hundred seventy-seven thousand, nine hundred eighty".