76200432 has 160 divisors (see below), whose sum is σ = 250698240. Its totient is φ = 19368960.

The previous prime is 76200419. The next prime is 76200433. The reversal of 76200432 is 23400267.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76200433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195694 + ... + 196082.

It is an arithmetic number, because the mean of its divisors is an integer number (1566864).

Almost surely, 2^76200432 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 76200432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125349120).

76200432 is an abundant number, since it is smaller than the sum of its proper divisors (174497808).

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

76200432 is a wasteful number, since it uses less digits than its factorization.

76200432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 76200432 is about 8729.2858814453. The cubic root of 76200432 is about 423.9543976112.

Adding to 76200432 its reverse (23400267), we get a palindrome (99600699).

The spelling of 76200432 in words is "seventy-six million, two hundred thousand, four hundred thirty-two".