742944840 has 192 divisors, whose sum is σ = 2579774400. Its totient is φ = 170565120.

The previous prime is 742944833. The next prime is 742944847. The reversal of 742944840 is 48449247.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (742944833) and next prime (742944847).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 742944792 and 742944801.

It is not an unprimeable number, because it can be changed into a prime (742944847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 274534 + ... + 277226.

It is an arithmetic number, because the mean of its divisors is an integer number (13436325).

Almost surely, 2^742944840 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 742944840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289887200).

742944840 is an abundant number, since it is smaller than the sum of its proper divisors (1836829560).

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

742944840 is a wasteful number, since it uses less digits than its factorization.

742944840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2748 (or 2733 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 742944840 is about 27257.0145100303. The cubic root of 742944840 is about 905.7024104374.

The spelling of 742944840 in words is "seven hundred forty-two million, nine hundred forty-four thousand, eight hundred forty".