742822208 has 56 divisors (see below), whose sum is σ = 1565187624. Its totient is φ = 348569600.

The previous prime is 742822181. The next prime is 742822243. The reversal of 742822208 is 802228247.

It can be written as a sum of positive squares in 4 ways, for example, as 119421184 + 623401024 = 10928^2 + 24968^2 .

It is a hoax number, since the sum of its digits (35) 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 7 ways as a sum of consecutive naturals, for example, 500828 + ... + 502308.

It is an arithmetic number, because the mean of its divisors is an integer number (27949779).

Almost surely, 2^742822208 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 742822208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782593812).

742822208 is an abundant number, since it is smaller than the sum of its proper divisors (822365416).

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

742822208 is a wasteful number, since it uses less digits than its factorization.

742822208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1971 (or 1961 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 35.

The square root of 742822208 is about 27254.7648678172. The cubic root of 742822208 is about 905.6525753292.

It can be divided in two parts, 74 and 2822208, that added together give a palindrome (2822282).

The spelling of 742822208 in words is "seven hundred forty-two million, eight hundred twenty-two thousand, two hundred eight".