76380432 has 80 divisors (see below), whose sum is σ = 209778240. Its totient is φ = 23901696.

The previous prime is 76380391. The next prime is 76380443. The reversal of 76380432 is 23408367.

It is a junction number, because it is equal to n+sod(n) for n = 76380393 and 76380402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50763 + ... + 52245.

It is an arithmetic number, because the mean of its divisors is an integer number (2622228).

Almost surely, 2^76380432 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 76380432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104889120).

76380432 is an abundant number, since it is smaller than the sum of its proper divisors (133397808).

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

76380432 is a wasteful number, since it uses less digits than its factorization.

76380432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 76380432 is about 8739.5899217297. The cubic root of 76380432 is about 424.2879555742.

Adding to 76380432 its reverse (23408367), we get a palindrome (99788799).

The spelling of 76380432 in words is "seventy-six million, three hundred eighty thousand, four hundred thirty-two".