782197472 has 144 divisors (see below), whose sum is σ = 1970166240. Its totient is φ = 298377216.

The previous prime is 782197459. The next prime is 782197511. The reversal of 782197472 is 274791287.

It is a super-2 number, since 2×782197472² = 1223665770406381568, which contains 22 as substring.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1374404 + ... + 1374972.

It is an arithmetic number, because the mean of its divisors is an integer number (13681710).

Almost surely, 2^782197472 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 782197472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985083120).

782197472 is an abundant number, since it is smaller than the sum of its proper divisors (1187968768).

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

782197472 is a wasteful number, since it uses less digits than its factorization.

782197472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 614 counting only the distinct ones).

The product of its digits is 395136, while the sum is 47.

The square root of 782197472 is about 27967.7934774984. The cubic root of 782197472 is about 921.3800460291.

The spelling of 782197472 in words is "seven hundred eighty-two million, one hundred ninety-seven thousand, four hundred seventy-two".