77366664 has 160 divisors (see below), whose sum is σ = 235224000. Its totient is φ = 23683968.

The previous prime is 77366659. The next prime is 77366683. The reversal of 77366664 is 46666377.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 432127 + ... + 432305.

It is an arithmetic number, because the mean of its divisors is an integer number (1470150).

Almost surely, 2^77366664 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 77366664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117612000).

77366664 is an abundant number, since it is smaller than the sum of its proper divisors (157857336).

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

77366664 is a wasteful number, since it uses less digits than its factorization.

77366664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 236 counting only the distinct ones).

The product of its digits is 762048, while the sum is 45.

The square root of 77366664 is about 8795.8321948523. The cubic root of 77366664 is about 426.1063015814.

It can be divided in two parts, 7736 and 6664, that added together give a square (14400 = 120²).

The spelling of 77366664 in words is "seventy-seven million, three hundred sixty-six thousand, six hundred sixty-four".