76171264 has 48 divisors (see below), whose sum is σ = 164078460. Its totient is φ = 35143680.

The previous prime is 76171253. The next prime is 76171279. The reversal of 76171264 is 46217167.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 74097664 + 2073600 = 8608^2 + 1440^2 .

It is a super-2 number, since 2×76171264² = 11604122918715392, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25194 + ... + 28054.

Almost surely, 2^76171264 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 76171264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82039230).

76171264 is an abundant number, since it is smaller than the sum of its proper divisors (87907196).

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

76171264 is a wasteful number, since it uses less digits than its factorization.

76171264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2896 (or 2876 counting only the distinct ones).

The product of its digits is 14112, while the sum is 34.

The square root of 76171264 is about 8727.6150235904. The cubic root of 76171264 is about 423.9002969555.

The spelling of 76171264 in words is "seventy-six million, one hundred seventy-one thousand, two hundred sixty-four".