782020404 has 72 divisors (see below), whose sum is σ = 2202415488. Its totient is φ = 231928320.

The previous prime is 782020381. The next prime is 782020423. The reversal of 782020404 is 404020287.

It is a super-2 number, since 2×782020404² = 1223111824544646432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2397 + ... + 39620.

It is an arithmetic number, because the mean of its divisors is an integer number (30589104).

Almost surely, 2^782020404 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 782020404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101207744).

782020404 is an abundant number, since it is smaller than the sum of its proper divisors (1420395084).

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

782020404 is a wasteful number, since it uses less digits than its factorization.

782020404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42085 (or 42080 counting only the distinct ones).

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

The square root of 782020404 is about 27964.6277286146. The cubic root of 782020404 is about 921.3105157463.

It can be divided in two parts, 7820 and 20404, that added together give a square (28224 = 168²).

The spelling of 782020404 in words is "seven hundred eighty-two million, twenty thousand, four hundred four".