130777800 has 96 divisors (see below), whose sum is σ = 407726880. Its totient is φ = 34675200.

The previous prime is 130777789. The next prime is 130777813. The reversal of 130777800 is 8777031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126084 + ... + 127116.

It is an arithmetic number, because the mean of its divisors is an integer number (4247155).

Almost surely, 2^130777800 is an apocalyptic number.

130777800 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 130777800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203863440).

130777800 is an abundant number, since it is smaller than the sum of its proper divisors (276949080).

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

130777800 is a wasteful number, since it uses less digits than its factorization.

130777800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 33.

The square root of 130777800 is about 11435.8121705456. The cubic root of 130777800 is about 507.5879954512.

The spelling of 130777800 in words is "one hundred thirty million, seven hundred seventy-seven thousand, eight hundred".