76513032 has 64 divisors (see below), whose sum is σ = 216057600. Its totient is φ = 25081920.

The previous prime is 76513007. The next prime is 76513037. The reversal of 76513032 is 23031567.

It is a happy number.

76513032 is a `hidden beast` number, since 7 + 651 + 3 + 0 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 76512987 and 76513005.

It is not an unprimeable number, because it can be changed into a prime (76513037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10273 + ... + 16079.

It is an arithmetic number, because the mean of its divisors is an integer number (3375900).

Almost surely, 2^76513032 is an apocalyptic number.

76513032 is a gapful number since it is divisible by the number (72) 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 76513032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108028800).

76513032 is an abundant number, since it is smaller than the sum of its proper divisors (139544568).

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

76513032 is a wasteful number, since it uses less digits than its factorization.

76513032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5883 (or 5873 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 76513032 is about 8747.1728003967. The cubic root of 76513032 is about 424.5333415358.

Adding to 76513032 its reverse (23031567), we get a palindrome (99544599).

The spelling of 76513032 in words is "seventy-six million, five hundred thirteen thousand, thirty-two".