782020440 has 64 divisors (see below), whose sum is σ = 2606738400. Its totient is φ = 208538496.

The previous prime is 782020433. The next prime is 782020441. The reversal of 782020440 is 44020287.

It is a super-2 number, since 2×782020440² = 1223111937155587200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (782020441) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 360967 + ... + 363126.

Almost surely, 2^782020440 is an apocalyptic number.

It is an amenable number.

782020440 is an abundant number, since it is smaller than the sum of its proper divisors (1824717960).

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

782020440 is a wasteful number, since it uses less digits than its factorization.

782020440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724113 (or 724103 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 782020440 is about 27964.6283722849. The cubic root of 782020440 is about 921.3105298837.

The spelling of 782020440 in words is "seven hundred eighty-two million, twenty thousand, four hundred forty".