77125680 has 60 divisors (see below), whose sum is σ = 259016160. Its totient is φ = 20566656.

The previous prime is 77125673. The next prime is 77125681. The reversal of 77125680 is 8652177.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is not an unprimeable number, because it can be changed into a prime (77125681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52840 + ... + 54279.

It is an arithmetic number, because the mean of its divisors is an integer number (4316936).

Almost surely, 2^77125680 is an apocalyptic number.

It is an amenable number.

77125680 is an abundant number, since it is smaller than the sum of its proper divisors (181890480).

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

77125680 is a wasteful number, since it uses less digits than its factorization.

77125680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107138 (or 107129 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 77125680 is about 8782.1227502239. The cubic root of 77125680 is about 425.6634252151.

The spelling of 77125680 in words is "seventy-seven million, one hundred twenty-five thousand, six hundred eighty".