782880400 has 45 divisors (see below), whose sum is σ = 1882215561. Its totient is φ = 312928320.

The previous prime is 782880353. The next prime is 782880409. The reversal of 782880400 is 4088287.

The square root of 782880400 is 27980.

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

782880400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 281836944 + 501043456 = 16788^2 + 22384^2 .

It is a super-2 number, since 2×782880400² = 1225803441408320000, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 782880400.

It is not an unprimeable number, because it can be changed into a prime (782880409) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 558901 + ... + 560299.

Almost surely, 2^782880400 is an apocalyptic number.

782880400 is the 27980-th square number.

It is an amenable number.

782880400 is an abundant number, since it is smaller than the sum of its proper divisors (1099335161).

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

782880400 is an equidigital number, since it uses as much as digits as its factorization.

782880400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2816 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 37.

The cubic root of 782880400 is about 921.6481169519.

The spelling of 782880400 in words is "seven hundred eighty-two million, eight hundred eighty thousand, four hundred".