77684736 has 112 divisors (see below), whose sum is σ = 216255600. Its totient is φ = 24772608.

The previous prime is 77684723. The next prime is 77684741. The reversal of 77684736 is 63748677.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 712650 + ... + 712758.

Almost surely, 2^77684736 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 77684736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108127800).

77684736 is an abundant number, since it is smaller than the sum of its proper divisors (138570864).

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

77684736 is a wasteful number, since it uses less digits than its factorization.

77684736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 143 counting only the distinct ones).

The product of its digits is 1185408, while the sum is 48.

The square root of 77684736 is about 8813.8944854134. The cubic root of 77684736 is about 426.6894432286.

The spelling of 77684736 in words is "seventy-seven million, six hundred eighty-four thousand, seven hundred thirty-six".