77042564 has 24 divisors (see below), whose sum is σ = 139738368. Its totient is φ = 37127520.

The previous prime is 77042561. The next prime is 77042593. The reversal of 77042564 is 46524077.

It is a super-3 number, since 3×77042564³ (a number of 25 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (77042561) 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, 33227 + ... + 35469.

It is an arithmetic number, because the mean of its divisors is an integer number (5822432).

Almost surely, 2^77042564 is an apocalyptic number.

It is an amenable number.

77042564 is a deficient number, since it is larger than the sum of its proper divisors (62695804).

77042564 is a wasteful number, since it uses less digits than its factorization.

77042564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2555 (or 2553 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 35.

The square root of 77042564 is about 8777.3893613078. The cubic root of 77042564 is about 425.5104620776.

It can be divided in two parts, 770 and 42564, that added together give a palindrome (43334).

The spelling of 77042564 in words is "seventy-seven million, forty-two thousand, five hundred sixty-four".