77660480 has 28 divisors (see below), whose sum is σ = 184929780. Its totient is φ = 31064064.

The previous prime is 77660459. The next prime is 77660491. The reversal of 77660480 is 8406677.

It can be written as a sum of positive squares in 2 ways, for example, as 58859584 + 18800896 = 7672^2 + 4336^2 .

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 121025 + ... + 121664.

It is an arithmetic number, because the mean of its divisors is an integer number (6604635).

Almost surely, 2^77660480 is an apocalyptic number.

It is an amenable number.

77660480 is an abundant number, since it is smaller than the sum of its proper divisors (107269300).

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

77660480 is a wasteful number, since it uses less digits than its factorization.

77660480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242706 (or 242696 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

The square root of 77660480 is about 8812.5183687752. The cubic root of 77660480 is about 426.6450292847.

The spelling of 77660480 in words is "seventy-seven million, six hundred sixty thousand, four hundred eighty".