76120400 has 30 divisors (see below), whose sum is σ = 182880222. Its totient is φ = 30448000.

The previous prime is 76120391. The next prime is 76120423. The reversal of 76120400 is 402167.

It can be written as a sum of positive squares in 3 ways, for example, as 6431296 + 69689104 = 2536^2 + 8348^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 94751 + ... + 95550.

Almost surely, 2^76120400 is an apocalyptic number.

It is an amenable number.

76120400 is an abundant number, since it is smaller than the sum of its proper divisors (106759822).

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

76120400 is a wasteful number, since it uses less digits than its factorization.

76120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190319 (or 190308 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 76120400 is about 8724.7005679278. The cubic root of 76120400 is about 423.8059216203.

Adding to 76120400 its reverse (402167), we get a palindrome (76522567).

The spelling of 76120400 in words is "seventy-six million, one hundred twenty thousand, four hundred".