76966416 has 80 divisors (see below), whose sum is σ = 232574400. Its totient is φ = 24302592.

The previous prime is 76966411. The next prime is 76966453. The reversal of 76966416 is 61466967.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (76966411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3520 + ... + 12896.

It is an arithmetic number, because the mean of its divisors is an integer number (2907180).

Almost surely, 2^76966416 is an apocalyptic number.

76966416 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76966416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116287200).

76966416 is an abundant number, since it is smaller than the sum of its proper divisors (155607984).

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

76966416 is a wasteful number, since it uses less digits than its factorization.

76966416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9413 (or 9401 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 76966416 is about 8773.0505526869. The cubic root of 76966416 is about 425.3702259534.

The spelling of 76966416 in words is "seventy-six million, nine hundred sixty-six thousand, four hundred sixteen".