76729464 has 128 divisors (see below), whose sum is σ = 251596800. Its totient is φ = 21202560.

The previous prime is 76729423. The next prime is 76729469. The reversal of 76729464 is 46492767.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76729469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46054 + ... + 47690.

It is an arithmetic number, because the mean of its divisors is an integer number (1965600).

Almost surely, 2^76729464 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 76729464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125798400).

76729464 is an abundant number, since it is smaller than the sum of its proper divisors (174867336).

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

76729464 is a wasteful number, since it uses less digits than its factorization.

76729464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690 (or 1680 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 76729464 is about 8759.5356041288. The cubic root of 76729464 is about 424.9332564162.

The spelling of 76729464 in words is "seventy-six million, seven hundred twenty-nine thousand, four hundred sixty-four".