738080820 has 144 divisors (see below), whose sum is σ = 2289530880. Its totient is φ = 192423168.

The previous prime is 738080813. The next prime is 738080839. The reversal of 738080820 is 28080837.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1897186 + ... + 1897574.

It is an arithmetic number, because the mean of its divisors is an integer number (15899520).

Almost surely, 2^738080820 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 738080820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1144765440).

738080820 is an abundant number, since it is smaller than the sum of its proper divisors (1551450060).

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

738080820 is a wasteful number, since it uses less digits than its factorization.

738080820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 738080820 is about 27167.6428863455. The cubic root of 738080820 is about 903.7215529116.

The spelling of 738080820 in words is "seven hundred thirty-eight million, eighty thousand, eight hundred twenty".