77332416 has 112 divisors (see below), whose sum is σ = 235939584. Its totient is φ = 21897216.

The previous prime is 77332403. The next prime is 77332427. The reversal of 77332416 is 61423377.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218896 + ... + 219248.

Almost surely, 2^77332416 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 77332416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117969792).

77332416 is an abundant number, since it is smaller than the sum of its proper divisors (158607168).

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

77332416 is a wasteful number, since it uses less digits than its factorization.

77332416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 528 counting only the distinct ones).

The product of its digits is 21168, while the sum is 33.

The square root of 77332416 is about 8793.8851482152. The cubic root of 77332416 is about 426.0434172945.

The spelling of 77332416 in words is "seventy-seven million, three hundred thirty-two thousand, four hundred sixteen".