782304480 has 336 divisors, whose sum is σ = 2925130320. Its totient is φ = 197074944.

The previous prime is 782304473. The next prime is 782304491. The reversal of 782304480 is 84403287.

It is a super-2 number, since 2×782304480² = 1224000598856140800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent 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 55 ways as a sum of consecutive naturals, for example, 2215984 + ... + 2216336.

It is an arithmetic number, because the mean of its divisors is an integer number (8705745).

Almost surely, 2^782304480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 782304480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462565160).

782304480 is an abundant number, since it is smaller than the sum of its proper divisors (2142825840).

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

782304480 is a wasteful number, since it uses less digits than its factorization.

782304480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 782304480 is about 27969.7064696789. The cubic root of 782304480 is about 921.4220603728.

The spelling of 782304480 in words is "seven hundred eighty-two million, three hundred four thousand, four hundred eighty".