76257120 has 96 divisors (see below), whose sum is σ = 243371520. Its totient is φ = 20067840.

The previous prime is 76257119. The next prime is 76257143. The reversal of 76257120 is 2175267.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36915 + ... + 38925.

It is an arithmetic number, because the mean of its divisors is an integer number (2535120).

Almost surely, 2^76257120 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 76257120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121685760).

76257120 is an abundant number, since it is smaller than the sum of its proper divisors (167114400).

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

76257120 is a wasteful number, since it uses less digits than its factorization.

76257120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2108 (or 2100 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 76257120 is about 8732.5322787837. The cubic root of 76257120 is about 424.0595027445.

The spelling of 76257120 in words is "seventy-six million, two hundred fifty-seven thousand, one hundred twenty".