77700960 has 72 divisors (see below), whose sum is σ = 265159440. Its totient is φ = 20719872.

The previous prime is 77700941. The next prime is 77700979. The reversal of 77700960 is 6900777.

It is an interprime number because it is at equal distance from previous prime (77700941) and next prime (77700979).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25540 + ... + 28419.

It is an arithmetic number, because the mean of its divisors is an integer number (3682770).

Almost surely, 2^77700960 is an apocalyptic number.

It is an amenable number.

77700960 is an abundant number, since it is smaller than the sum of its proper divisors (187458480).

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

77700960 is a wasteful number, since it uses less digits than its factorization.

77700960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53980 (or 53969 counting only the distinct ones).

The product of its (nonzero) digits is 18522, while the sum is 36.

The square root of 77700960 is about 8814.8148023654. The cubic root of 77700960 is about 426.7191450208.

The spelling of 77700960 in words is "seventy-seven million, seven hundred thousand, nine hundred sixty".