8770304560900 has 81 divisors (see below), whose sum is σ = 19448189713407. Its totient is φ = 3432936024000.

The previous prime is 8770304560877. The next prime is 8770304560903. The reversal of 8770304560900 is 90654030778.

It is a happy number.

The square root of 8770304560900 is 2961470.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5010091524 + 8765294469376 = 70782^2 + 2960624^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8770304560903) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1391887750 + ... + 1391894050.

Almost surely, 2^{8770304560900} is an apocalyptic number.

8770304560900 is the 2961470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8770304560900

8770304560900 is an abundant number, since it is smaller than the sum of its proper divisors (10677885152507).

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

8770304560900 is an frugal number, since it uses more digits than its factorization.

8770304560900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12710 (or 6355 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 49.

Multiplying 8770304560900 by its sum of digits (49), we get a square (429744923484100 = 20730290²).

The spelling of 8770304560900 in words is "eight trillion, seven hundred seventy billion, three hundred four million, five hundred sixty thousand, nine hundred".