76128264 has 48 divisors (see below), whose sum is σ = 208681200. Its totient is φ = 25068384.

The previous prime is 76128263. The next prime is 76128287. The reversal of 76128264 is 46282167.

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 (76128263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 394 + ... + 12345.

It is an arithmetic number, because the mean of its divisors is an integer number (4347525).

Almost surely, 2^76128264 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 76128264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104340600).

76128264 is an abundant number, since it is smaller than the sum of its proper divisors (132552936).

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

76128264 is a wasteful number, since it uses less digits than its factorization.

76128264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12834 (or 12827 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 76128264 is about 8725.1512307810. The cubic root of 76128264 is about 423.8205155837.

It can be divided in two parts, 7612 and 8264, that added together give a square (15876 = 126²).

The spelling of 76128264 in words is "seventy-six million, one hundred twenty-eight thousand, two hundred sixty-four".