76901264 has 40 divisors (see below), whose sum is σ = 163516320. Its totient is φ = 34745600.

The previous prime is 76901261. The next prime is 76901267. The reversal of 76901264 is 46210967.

It is an interprime number because it is at equal distance from previous prime (76901261) and next prime (76901267).

It is a super-3 number, since 3×76901264³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (76901261) 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, 30284 + ... + 32724.

It is an arithmetic number, because the mean of its divisors is an integer number (4087908).

Almost surely, 2^76901264 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 76901264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81758160).

76901264 is an abundant number, since it is smaller than the sum of its proper divisors (86615056).

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

76901264 is a wasteful number, since it uses less digits than its factorization.

76901264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2639 (or 2633 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 76901264 is about 8769.3365769595. The cubic root of 76901264 is about 425.2501669027.

The spelling of 76901264 in words is "seventy-six million, nine hundred one thousand, two hundred sixty-four".