76400400 has 60 divisors (see below), whose sum is σ = 244739792. Its totient is φ = 20373120.

The previous prime is 76400383. The next prime is 76400407. The reversal of 76400400 is 400467.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×76400400² = 11674042240320000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (76400407) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 30634 + ... + 33033.

Almost surely, 2^76400400 is an apocalyptic number.

It is an amenable number.

76400400 is an abundant number, since it is smaller than the sum of its proper divisors (168339392).

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

76400400 is a wasteful number, since it uses less digits than its factorization.

76400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63688 (or 63677 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 76400400 is about 8740.7322347730. The cubic root of 76400400 is about 424.3249259669.

Adding to 76400400 its reverse (400467), we get a palindrome (76800867).

The spelling of 76400400 in words is "seventy-six million, four hundred thousand, four hundred".