77518064 has 40 divisors (see below), whose sum is σ = 162666672. Its totient is φ = 35573760.

The previous prime is 77518061. The next prime is 77518069. The reversal of 77518064 is 46081577.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77518061) 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, 39179 + ... + 41109.

Almost surely, 2^77518064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77518064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81333336).

77518064 is an abundant number, since it is smaller than the sum of its proper divisors (85148608).

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

77518064 is a wasteful number, since it uses less digits than its factorization.

77518064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2145 (or 2139 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 38.

The square root of 77518064 is about 8804.4343373098. The cubic root of 77518064 is about 426.3840717673.

The spelling of 77518064 in words is "seventy-seven million, five hundred eighteen thousand, sixty-four".