76264160 has 96 divisors (see below), whose sum is σ = 207748800. Its totient is φ = 25915392.

The previous prime is 76264129. The next prime is 76264207. The reversal of 76264160 is 6146267.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166652 + ... + 167108.

It is an arithmetic number, because the mean of its divisors is an integer number (2164050).

Almost surely, 2^76264160 is an apocalyptic number.

76264160 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 76264160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103874400).

76264160 is an abundant number, since it is smaller than the sum of its proper divisors (131484640).

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

76264160 is a wasteful number, since it uses less digits than its factorization.

76264160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 76264160 is about 8732.9353598890. The cubic root of 76264160 is about 424.0725519611.

The spelling of 76264160 in words is "seventy-six million, two hundred sixty-four thousand, one hundred sixty".