1781077084900 has 81 divisors (see below), whose sum is σ = 3886399266897. Its totient is φ = 708496521600.

The previous prime is 1781077084861. The next prime is 1781077084949. The reversal of 1781077084900 is 94807701871.

The square root of 1781077084900 is 1334570.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1180625672356 + 600451412544 = 1086566^2 + 774888^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4230586690 + ... + 4230587110.

Almost surely, 2^{1781077084900} is an apocalyptic number.

1781077084900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1781077084900 is the 1334570-th square number.

It is an amenable number.

1781077084900 is an abundant number, since it is smaller than the sum of its proper divisors (2105322181997).

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

1781077084900 is an frugal number, since it uses more digits than its factorization.

1781077084900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 52.

The spelling of 1781077084900 in words is "one trillion, seven hundred eighty-one billion, seventy-seven million, eighty-four thousand, nine hundred".