76242100 has 54 divisors (see below), whose sum is σ = 181882022. Its totient is φ = 27720000.

The previous prime is 76242077. The next prime is 76242119. The reversal of 76242100 is 124267.

It can be written as a sum of positive squares in 3 ways, for example, as 7086244 + 69155856 = 2662^2 + 8316^2 .

It is a super-3 number, since 3×76242100³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 8950 + ... + 15250.

Almost surely, 2^76242100 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 76242100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90941011).

76242100 is an abundant number, since it is smaller than the sum of its proper divisors (105639922).

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

76242100 is a wasteful number, since it uses less digits than its factorization.

76242100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6337 (or 6319 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 76242100 is about 8731.6722338851. The cubic root of 76242100 is about 424.0316592594.

Adding to 76242100 its reverse (124267), we get a palindrome (76366367).

The spelling of 76242100 in words is "seventy-six million, two hundred forty-two thousand, one hundred".