76150400 has 96 divisors (see below), whose sum is σ = 192091500. Its totient is φ = 29818880.

The previous prime is 76150379. The next prime is 76150427. The reversal of 76150400 is 405167.

It can be written as a sum of positive squares in 6 ways, for example, as 40246336 + 35904064 = 6344^2 + 5992^2 .

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 11 ways as a sum of consecutive naturals, for example, 169376 + ... + 169824.

Almost surely, 2^76150400 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 76150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96045750).

76150400 is an abundant number, since it is smaller than the sum of its proper divisors (115941100).

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

76150400 is a wasteful number, since it uses less digits than its factorization.

76150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 76150400 is about 8726.4196552767. The cubic root of 76150400 is about 423.8615900427.

Adding to 76150400 its reverse (405167), we get a palindrome (76555567).

The spelling of 76150400 in words is "seventy-six million, one hundred fifty thousand, four hundred".