1798763792400 has 225 divisors, whose sum is σ = 6456485431693. Its totient is φ = 479605968000.

The previous prime is 1798763792363. The next prime is 1798763792417. The reversal of 1798763792400 is 42973678971.

The square root of 1798763792400 is 1341180.

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

1798763792400 is a `hidden beast` number, since 1 + 7 + 9 + 87 + 63 + 7 + 92 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 647554965264 + 1151208827136 = 804708^2 + 1072944^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 241408675 + ... + 241416125.

Almost surely, 2^{1798763792400} is an apocalyptic number.

1798763792400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1798763792400 is the 1341180-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1798763792400

1798763792400 is an abundant number, since it is smaller than the sum of its proper divisors (4657721639293).

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

1798763792400 is an frugal number, since it uses more digits than its factorization.

1798763792400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14932 (or 7461 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 1798763792400 in words is "one trillion, seven hundred ninety-eight billion, seven hundred sixty-three million, seven hundred ninety-two thousand, four hundred".