782320900 has 27 divisors (see below), whose sum is σ = 1698243519. Its totient is φ = 312816480.

The previous prime is 782320879. The next prime is 782320927. The reversal of 782320900 is 9023287.

The square root of 782320900 is 27970.

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 9036036 + 773284864 = 3006^2 + 27808^2 .

It is a super-2 number, since 2×782320900² = 1224051981153620000, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 278302 + ... + 281098.

Almost surely, 2^782320900 is an apocalyptic number.

782320900 is the 27970-th square number.

It is an amenable number.

782320900 is an abundant number, since it is smaller than the sum of its proper divisors (915922619).

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

782320900 is an equidigital number, since it uses as much as digits as its factorization.

782320900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5608 (or 2804 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The cubic root of 782320900 is about 921.4285069865.

The spelling of 782320900 in words is "seven hundred eighty-two million, three hundred twenty thousand, nine hundred".