77384664 has 96 divisors (see below), whose sum is σ = 244127520. Its totient is φ = 21685248.

The previous prime is 77384639. The next prime is 77384669. The reversal of 77384664 is 46648377.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77384669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25264 + ... + 28160.

It is an arithmetic number, because the mean of its divisors is an integer number (2542995).

Almost surely, 2^77384664 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 77384664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122063760).

77384664 is an abundant number, since it is smaller than the sum of its proper divisors (166742856).

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

77384664 is a wasteful number, since it uses less digits than its factorization.

77384664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2969 (or 2962 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 77384664 is about 8796.8553472249. The cubic root of 77384664 is about 426.1393447479.

The spelling of 77384664 in words is "seventy-seven million, three hundred eighty-four thousand, six hundred sixty-four".