77049504 has 72 divisors (see below), whose sum is σ = 250417440. Its totient is φ = 22013568.

The previous prime is 77049499. The next prime is 77049547. The reversal of 77049504 is 40594077.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17094 + ... + 21125.

It is an arithmetic number, because the mean of its divisors is an integer number (3478020).

Almost surely, 2^77049504 is an apocalyptic number.

It is an amenable number.

77049504 is an abundant number, since it is smaller than the sum of its proper divisors (173367936).

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

77049504 is a wasteful number, since it uses less digits than its factorization.

77049504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38242 (or 38231 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 77049504 is about 8777.7846863545. The cubic root of 77049504 is about 425.5232383655.

The spelling of 77049504 in words is "seventy-seven million, forty-nine thousand, five hundred four".