76404400 has 60 divisors (see below), whose sum is σ = 184535064. Its totient is φ = 30400000.

The previous prime is 76404397. The next prime is 76404401. The reversal of 76404400 is 440467.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (76404401) 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 11 ways as a sum of consecutive naturals, for example, 100020 + ... + 100780.

Almost surely, 2^76404400 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 76404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92267532).

76404400 is an abundant number, since it is smaller than the sum of its proper divisors (108130664).

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

76404400 is a wasteful number, since it uses less digits than its factorization.

76404400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 76404400 is about 8740.9610455602. The cubic root of 76404400 is about 424.3323311205.

Adding to 76404400 its reverse (440467), we get a palindrome (76844867).

The spelling of 76404400 in words is "seventy-six million, four hundred four thousand, four hundred".