76767264 has 120 divisors (see below), whose sum is σ = 258084288. Its totient is φ = 21928320.

The previous prime is 76767227. The next prime is 76767269. The reversal of 76767264 is 46276767.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (76767269) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16029 + ... + 20259.

Almost surely, 2^76767264 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 76767264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129042144).

76767264 is an abundant number, since it is smaller than the sum of its proper divisors (181317024).

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

76767264 is a wasteful number, since it uses less digits than its factorization.

76767264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4260 (or 4243 counting only the distinct ones).

The product of its digits is 592704, while the sum is 45.

The square root of 76767264 is about 8761.6929870887. The cubic root of 76767264 is about 425.0030246613.

The spelling of 76767264 in words is "seventy-six million, seven hundred sixty-seven thousand, two hundred sixty-four".