130772800 has 126 divisors (see below), whose sum is σ = 337660742. Its totient is φ = 49812480.

The previous prime is 130772797. The next prime is 130772827. The reversal of 130772800 is 8277031.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 27709696 + 103063104 = 5264^2 + 10152^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2782377 + ... + 2782423.

Almost surely, 2^130772800 is an apocalyptic number.

130772800 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 130772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168830371).

130772800 is an abundant number, since it is smaller than the sum of its proper divisors (206887942).

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

130772800 is an equidigital number, since it uses as much as digits as its factorization.

130772800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 130772800 is about 11435.5935569607. The cubic root of 130772800 is about 507.5815265339.

The spelling of 130772800 in words is "one hundred thirty million, seven hundred seventy-two thousand, eight hundred".