76560120 has 512 divisors, whose sum is σ = 338688000. Its totient is φ = 14929920.

The previous prime is 76560119. The next prime is 76560131. The reversal of 76560120 is 2106567.

76560120 is a `hidden beast` number, since 7 + 656 + 0 + 1 + 2 + 0 = 666.

It is a super-2 number, since 2×76560120² = 11722903948828800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1867300 + ... + 1867340.

It is an arithmetic number, because the mean of its divisors is an integer number (661500).

Almost surely, 2^76560120 is an apocalyptic number.

76560120 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 76560120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169344000).

76560120 is an abundant number, since it is smaller than the sum of its proper divisors (262127880).

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

76560120 is a wasteful number, since it uses less digits than its factorization.

76560120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 76560120 is about 8749.8639989431. The cubic root of 76560120 is about 424.6204130930.

76560120 divided by its product of nonzero digits (2520) gives a triangular number (30381 = T₂₄₆).

Adding to 76560120 its reverse (2106567), we get a palindrome (78666687).

The spelling of 76560120 in words is "seventy-six million, five hundred sixty thousand, one hundred twenty".