76214880 has 144 divisors (see below), whose sum is σ = 297277344. Its totient is φ = 17418240.

The previous prime is 76214861. The next prime is 76214981. The reversal of 76214880 is 8841267.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6300 + ... + 13860.

It is an arithmetic number, because the mean of its divisors is an integer number (2064426).

Almost surely, 2^76214880 is an apocalyptic number.

76214880 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 76214880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148638672).

76214880 is an abundant number, since it is smaller than the sum of its proper divisors (221062464).

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

76214880 is a wasteful number, since it uses less digits than its factorization.

76214880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7589 (or 7578 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 76214880 is about 8730.1134013253. The cubic root of 76214880 is about 423.9811905742.

The spelling of 76214880 in words is "seventy-six million, two hundred fourteen thousand, eight hundred eighty".