782493696 has 240 divisors, whose sum is σ = 2408105700. Its totient is φ = 253034496.

The previous prime is 782493683. The next prime is 782493703. The reversal of 782493696 is 696394287.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 780420096 + 2073600 = 27936^2 + 1440^2 .

It is a super-2 number, since 2×782493696² = 1224592768559480832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8792020 + ... + 8792108.

Almost surely, 2^782493696 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 782493696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204052850).

782493696 is an abundant number, since it is smaller than the sum of its proper divisors (1625612004).

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

782493696 is an equidigital number, since it uses as much as digits as its factorization.

782493696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 147 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 782493696 is about 27973.0887818989. The cubic root of 782493696 is about 921.4963425082.

The spelling of 782493696 in words is "seven hundred eighty-two million, four hundred ninety-three thousand, six hundred ninety-six".