782806140 has 192 divisors, whose sum is σ = 2596406400. Its totient is φ = 195121152.

The previous prime is 782806097. The next prime is 782806163. The reversal of 782806140 is 41608287.

It is a super-2 number, since 2×782806140² = 1225570905643399200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 782806095 and 782806104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2469262 + ... + 2469578.

It is an arithmetic number, because the mean of its divisors is an integer number (13522950).

Almost surely, 2^782806140 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 782806140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298203200).

782806140 is an abundant number, since it is smaller than the sum of its proper divisors (1813600260).

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

782806140 is a wasteful number, since it uses less digits than its factorization.

782806140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 782806140 is about 27978.6729492305. The cubic root of 782806140 is about 921.6189751003.

The spelling of 782806140 in words is "seven hundred eighty-two million, eight hundred six thousand, one hundred forty".