76642720 has 96 divisors (see below), whose sum is σ = 225783936. Its totient is φ = 23884800.

The previous prime is 76642697. The next prime is 76642733. The reversal of 76642720 is 2724667.

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 15 ways as a sum of consecutive naturals, for example, 9210 + ... + 15430.

It is an arithmetic number, because the mean of its divisors is an integer number (2351916).

Almost surely, 2^76642720 is an apocalyptic number.

76642720 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 76642720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112891968).

76642720 is an abundant number, since it is smaller than the sum of its proper divisors (149141216).

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

76642720 is a wasteful number, since it uses less digits than its factorization.

76642720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6254 (or 6246 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

The square root of 76642720 is about 8754.5827998826. The cubic root of 76642720 is about 424.7730645436.

The spelling of 76642720 in words is "seventy-six million, six hundred forty-two thousand, seven hundred twenty".