736081920 has 432 divisors, whose sum is σ = 2985844680. Its totient is φ = 167215104.

The previous prime is 736081919. The next prime is 736081933. The reversal of 736081920 is 29180637.

736081920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4515759 + ... + 4515921.

Almost surely, 2^736081920 is an apocalyptic number.

736081920 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 736081920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492922340).

736081920 is an abundant number, since it is smaller than the sum of its proper divisors (2249762760).

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

736081920 is a wasteful number, since it uses less digits than its factorization.

736081920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 736081920 is about 27130.8296961225. The cubic root of 736081920 is about 902.9049836927.

The spelling of 736081920 in words is "seven hundred thirty-six million, eighty-one thousand, nine hundred twenty".