1780836870400 has 243 divisors, whose sum is σ = 5129651011401. Its totient is φ = 610316421120.

The previous prime is 1780836870389. The next prime is 1780836870409. The reversal of 1780836870400 is 40786380871.

The square root of 1780836870400 is 1334480.

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., 641101273344 + 1139735597056 = 800688^2 + 1067584^2 .

It is not an unprimeable number, because it can be changed into a prime (1780836870409) 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, 747307609 + ... + 747309991.

Almost surely, 2^{1780836870400} is an apocalyptic number.

1780836870400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1780836870400 is the 1334480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1780836870400

1780836870400 is an abundant number, since it is smaller than the sum of its proper divisors (3348814141001).

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

1780836870400 is an frugal number, since it uses more digits than its factorization.

1780836870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4806 (or 2397 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 52.

The spelling of 1780836870400 in words is "one trillion, seven hundred eighty billion, eight hundred thirty-six million, eight hundred seventy thousand, four hundred".