77576080 has 40 divisors (see below), whose sum is σ = 182169144. Its totient is φ = 30720000.

The previous prime is 77576077. The next prime is 77576089. The reversal of 77576080 is 8067577.

It can be written as a sum of positive squares in 4 ways, for example, as 36820624 + 40755456 = 6068^2 + 6384^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (77576089) 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, 3280 + ... + 12880.

Almost surely, 2^77576080 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 77576080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91084572).

77576080 is an abundant number, since it is smaller than the sum of its proper divisors (104593064).

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

77576080 is a wasteful number, since it uses less digits than its factorization.

77576080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9715 (or 9709 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 40.

The square root of 77576080 is about 8807.7284245145. The cubic root of 77576080 is about 426.4904165699.

The spelling of 77576080 in words is "seventy-seven million, five hundred seventy-six thousand, eighty".