7780560900 has 72 divisors (see below), whose sum is σ = 25727728320. Its totient is φ = 1778413440.

The previous prime is 7780560899. The next prime is 7780560967. The reversal of 7780560900 is 90650877.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1850415 + ... + 1854614.

It is an arithmetic number, because the mean of its divisors is an integer number (357329560).

Almost surely, 2^7780560900 is an apocalyptic number.

7780560900 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7780560900 is an abundant number, since it is smaller than the sum of its proper divisors (17947167420).

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

7780560900 is a wasteful number, since it uses less digits than its factorization.

7780560900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3705053 (or 3705046 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The square root of 7780560900 is about 88207.4877773990. The cubic root of 7780560900 is about 1981.5436131379.

The spelling of 7780560900 in words is "seven billion, seven hundred eighty million, five hundred sixty thousand, nine hundred".