76276480 has 72 divisors (see below), whose sum is σ = 208831392. Its totient is φ = 26148864.

The previous prime is 76276457. The next prime is 76276483. The reversal of 76276480 is 8467267.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (76276483) 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, 4704 + ... + 13216.

It is an arithmetic number, because the mean of its divisors is an integer number (2900436).

Almost surely, 2^76276480 is an apocalyptic number.

76276480 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 76276480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104415696).

76276480 is an abundant number, since it is smaller than the sum of its proper divisors (132554912).

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

76276480 is an equidigital number, since it uses as much as digits as its factorization.

76276480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8541 (or 8527 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The square root of 76276480 is about 8733.6407070591. The cubic root of 76276480 is about 424.0953861580.

The spelling of 76276480 in words is "seventy-six million, two hundred seventy-six thousand, four hundred eighty".