77034560 has 28 divisors (see below), whose sum is σ = 183439308. Its totient is φ = 30813696.

The previous prime is 77034553. The next prime is 77034563. The reversal of 77034560 is 6543077.

It can be written as a sum of positive squares in 2 ways, for example, as 28815424 + 48219136 = 5368^2 + 6944^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (77034563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 120047 + ... + 120686.

Almost surely, 2^77034560 is an apocalyptic number.

It is an amenable number.

77034560 is an abundant number, since it is smaller than the sum of its proper divisors (106404748).

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

77034560 is a wasteful number, since it uses less digits than its factorization.

77034560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240750 (or 240740 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 32.

The square root of 77034560 is about 8776.9334052390. The cubic root of 77034560 is about 425.4957260515.

The spelling of 77034560 in words is "seventy-seven million, thirty-four thousand, five hundred sixty".