76228880 has 160 divisors (see below), whose sum is σ = 224818944. Its totient is φ = 23390208.

The previous prime is 76228879. The next prime is 76228883. The reversal of 76228880 is 8882267.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (76228883) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 269219 + ... + 269501.

Almost surely, 2^76228880 is an apocalyptic number.

76228880 is a gapful number since it is divisible by the number (70) 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 76228880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112409472).

76228880 is an abundant number, since it is smaller than the sum of its proper divisors (148590064).

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

76228880 is a wasteful number, since it uses less digits than its factorization.

76228880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 41.

The square root of 76228880 is about 8730.9151868518. The cubic root of 76228880 is about 424.0071495175.

The spelling of 76228880 in words is "seventy-six million, two hundred twenty-eight thousand, eight hundred eighty".