738590720 has 216 divisors, whose sum is σ = 2151669744. Its totient is φ = 242221056.

The previous prime is 738590711. The next prime is 738590737. The reversal of 738590720 is 27095837.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32112629 + ... + 32112651.

It is an arithmetic number, because the mean of its divisors is an integer number (9961434).

Almost surely, 2^738590720 is an apocalyptic number.

738590720 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 738590720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075834872).

738590720 is an abundant number, since it is smaller than the sum of its proper divisors (1413079024).

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

738590720 is an frugal number, since it uses more digits than its factorization.

738590720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 41.

The square root of 738590720 is about 27177.0255914808. The cubic root of 738590720 is about 903.9296157382.

The spelling of 738590720 in words is "seven hundred thirty-eight million, five hundred ninety thousand, seven hundred twenty".