130772880 has 360 divisors, whose sum is σ = 537840576. Its totient is φ = 28926720.

The previous prime is 130772879. The next prime is 130772893. The reversal of 130772880 is 88277031.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×130772880² = 34203092286988800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4218465 + ... + 4218495.

Almost surely, 2^130772880 is an apocalyptic number.

130772880 is a gapful number since it is divisible by the number (10) 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 130772880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268920288).

130772880 is an abundant number, since it is smaller than the sum of its proper divisors (407067696).

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

130772880 is an equidigital number, since it uses as much as digits as its factorization.

130772880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 130772880 is about 11435.5970548109. The cubic root of 130772880 is about 507.5816300379.

The spelling of 130772880 in words is "one hundred thirty million, seven hundred seventy-two thousand, eight hundred eighty".