76888224 has 96 divisors (see below), whose sum is σ = 256314240. Its totient is φ = 21966336.

The previous prime is 76888211. The next prime is 76888249. The reversal of 76888224 is 42288867.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 76888224.

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, 309 + ... + 12404.

It is an arithmetic number, because the mean of its divisors is an integer number (2669940).

Almost surely, 2^76888224 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 76888224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128157120).

76888224 is an abundant number, since it is smaller than the sum of its proper divisors (179426016).

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

76888224 is a wasteful number, since it uses less digits than its factorization.

76888224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12739 (or 12725 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 76888224 is about 8768.5930456374. The cubic root of 76888224 is about 425.2261292586.

The spelling of 76888224 in words is "seventy-six million, eight hundred eighty-eight thousand, two hundred twenty-four".