782226720 has 576 divisors, whose sum is σ = 3170119680. Its totient is φ = 180403200.

The previous prime is 782226701. The next prime is 782226727. The reversal of 782226720 is 27622287.

It is a super-2 number, since 2×782226720² = 1223757282963916800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (782226727) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13258051 + ... + 13258109.

It is an arithmetic number, because the mean of its divisors is an integer number (5503680).

Almost surely, 2^782226720 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 782226720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585059840).

782226720 is an abundant number, since it is smaller than the sum of its proper divisors (2387892960).

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

782226720 is a wasteful number, since it uses less digits than its factorization.

782226720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 782226720 is about 27968.3163597668. The cubic root of 782226720 is about 921.3915299952.

It can be divided in two parts, 7822267 and 20, that added together give a palindrome (7822287).

The spelling of 782226720 in words is "seven hundred eighty-two million, two hundred twenty-six thousand, seven hundred twenty".