76457216 has 72 divisors (see below), whose sum is σ = 175375200. Its totient is φ = 32901120.

The previous prime is 76457179. The next prime is 76457219. The reversal of 76457216 is 61275467.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a self number, because there is not a number n which added to its sum of digits gives 76457216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76457219) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52790 + ... + 54218.

Almost surely, 2^76457216 is an apocalyptic number.

76457216 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 76457216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87687600).

76457216 is an abundant number, since it is smaller than the sum of its proper divisors (98917984).

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

76457216 is a wasteful number, since it uses less digits than its factorization.

76457216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475 (or 1461 counting only the distinct ones).

The product of its digits is 70560, while the sum is 38.

The square root of 76457216 is about 8743.9817017192. The cubic root of 76457216 is about 424.4300845407.

The spelling of 76457216 in words is "seventy-six million, four hundred fifty-seven thousand, two hundred sixteen".