1077808900 has 135 divisors (see below), whose sum is σ = 2769822069. Its totient is φ = 364019040.

The previous prime is 1077808847. The next prime is 1077808909. The reversal of 1077808900 is 98087701.

The square root of 1077808900 is 32830.

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

It can be written as a sum of positive squares in only one way, i.e., 388011204 + 689797696 = 19698^2 + 26264^2 .

It is not an unprimeable number, because it can be changed into a prime (1077808909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 16086667 + ... + 16086733.

Almost surely, 2^1077808900 is an apocalyptic number.

1077808900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1077808900 is the 32830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1077808900

1077808900 is an abundant number, since it is smaller than the sum of its proper divisors (1692013169).

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

1077808900 is an frugal number, since it uses more digits than its factorization.

1077808900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 40.

The cubic root of 1077808900 is about 1025.2912596839.

Multiplying 1077808900 by its product of nonzero digits (28224), we get a square (30420078393600 = 5515440²).

The spelling of 1077808900 in words is "one billion, seventy-seven million, eight hundred eight thousand, nine hundred".