76545700 has 72 divisors (see below), whose sum is σ = 207111744. Its totient is φ = 23856000.

The previous prime is 76545653. The next prime is 76545701. The reversal of 76545700 is 754567.

It is not an unprimeable number, because it can be changed into a prime (76545701) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2730 + ... + 12670.

It is an arithmetic number, because the mean of its divisors is an integer number (2876552).

Almost surely, 2^76545700 is an apocalyptic number.

76545700 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 76545700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103555872).

76545700 is an abundant number, since it is smaller than the sum of its proper divisors (130566044).

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

76545700 is a wasteful number, since it uses less digits than its factorization.

76545700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9973 (or 9966 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 34.

The square root of 76545700 is about 8749.0399473314. The cubic root of 76545700 is about 424.5937525164.

The spelling of 76545700 in words is "seventy-six million, five hundred forty-five thousand, seven hundred".