77083680 has 48 divisors (see below), whose sum is σ = 242815104. Its totient is φ = 20555520.

The previous prime is 77083663. The next prime is 77083681. The reversal of 77083680 is 8638077.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (77083681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79816 + ... + 80775.

It is an arithmetic number, because the mean of its divisors is an integer number (5058648).

Almost surely, 2^77083680 is an apocalyptic number.

It is an amenable number.

77083680 is an abundant number, since it is smaller than the sum of its proper divisors (165731424).

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

77083680 is a wasteful number, since it uses less digits than its factorization.

77083680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160609 (or 160601 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 77083680 is about 8779.7312031747. The cubic root of 77083680 is about 425.5861439513.

The spelling of 77083680 in words is "seventy-seven million, eighty-three thousand, six hundred eighty".