76113100 has 72 divisors (see below), whose sum is σ = 189987840. Its totient is φ = 25926720.

The previous prime is 76113083. The next prime is 76113137. The reversal of 76113100 is 131167.

It is a happy number.

It is a super-2 number, since 2×76113100² = 11586407983220000, which contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 158661 + ... + 159139.

It is an arithmetic number, because the mean of its divisors is an integer number (2638720).

Almost surely, 2^76113100 is an apocalyptic number.

76113100 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94993920).

76113100 is an abundant number, since it is smaller than the sum of its proper divisors (113874740).

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

76113100 is a wasteful number, since it uses less digits than its factorization.

76113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 76113100 is about 8724.2822054310. The cubic root of 76113100 is about 423.7923734250.

Adding to 76113100 its reverse (131167), we get a palindrome (76244267).

It can be divided in two parts, 761 and 13100, that added together give a triangular number (13861 = T₁₆₆).

The spelling of 76113100 in words is "seventy-six million, one hundred thirteen thousand, one hundred".