76427280 has 160 divisors (see below), whose sum is σ = 269982720. Its totient is φ = 19860480.

The previous prime is 76427279. The next prime is 76427287. The reversal of 76427280 is 8272467.

76427280 is a `hidden beast` number, since 7 + 642 + 7 + 2 + 8 + 0 = 666.

It is a super-2 number, since 2×76427280² = 11682258256396800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (76427287) 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, 88129 + ... + 88991.

It is an arithmetic number, because the mean of its divisors is an integer number (1687392).

Almost surely, 2^76427280 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 76427280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134991360).

76427280 is an abundant number, since it is smaller than the sum of its proper divisors (193555440).

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

76427280 is a wasteful number, since it uses less digits than its factorization.

76427280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 76427280 is about 8742.2697281656. The cubic root of 76427280 is about 424.3746836324.

The spelling of 76427280 in words is "seventy-six million, four hundred twenty-seven thousand, two hundred eighty".