76128100 has 36 divisors (see below), whose sum is σ = 166684644. Its totient is φ = 30177280.

The previous prime is 76128083. The next prime is 76128133. The reversal of 76128100 is 182167.

It can be written as a sum of positive squares in 6 ways, for example, as 15163236 + 60964864 = 3894^2 + 7808^2 .

It is a super-2 number, since 2×76128100² = 11590975219220000, which contains 22 as substring.

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

It is an unprimeable number.

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, 7932 + ... + 14668.

It is an arithmetic number, because the mean of its divisors is an integer number (4630129).

Almost surely, 2^76128100 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 76128100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83342322).

76128100 is an abundant number, since it is smaller than the sum of its proper divisors (90556544).

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

76128100 is a wasteful number, since it uses less digits than its factorization.

76128100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6864 (or 6857 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 76128100 is about 8725.1418326581. The cubic root of 76128100 is about 423.8202112438.

The spelling of 76128100 in words is "seventy-six million, one hundred twenty-eight thousand, one hundred".