76732416 has 144 divisors (see below), whose sum is σ = 232530480. Its totient is φ = 24330240.

The previous prime is 76732387. The next prime is 76732433. The reversal of 76732416 is 61423767.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 423846 + ... + 424026.

It is an arithmetic number, because the mean of its divisors is an integer number (1614795).

Almost surely, 2^76732416 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 76732416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116265240).

76732416 is an abundant number, since it is smaller than the sum of its proper divisors (155798064).

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

76732416 is a wasteful number, since it uses less digits than its factorization.

76732416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 209 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 76732416 is about 8759.7041045917. The cubic root of 76732416 is about 424.9387058087.

The spelling of 76732416 in words is "seventy-six million, seven hundred thirty-two thousand, four hundred sixteen".