77416960 has 40 divisors (see below), whose sum is σ = 185625396. Its totient is φ = 30965760.

The previous prime is 77416957. The next prime is 77416967. The reversal of 77416960 is 6961477.

It can be written as a sum of positive squares in 2 ways, for example, as 72182016 + 5234944 = 8496^2 + 2288^2 .

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 (77416967) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12561 + ... + 17680.

Almost surely, 2^77416960 is an apocalyptic number.

It is an amenable number.

77416960 is an abundant number, since it is smaller than the sum of its proper divisors (108208436).

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

77416960 is an equidigital number, since it uses as much as digits as its factorization.

77416960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30264 (or 30248 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 40.

The square root of 77416960 is about 8798.6908117060. The cubic root of 77416960 is about 426.1986186894.

The spelling of 77416960 in words is "seventy-seven million, four hundred sixteen thousand, nine hundred sixty".