738090080 has 192 divisors, whose sum is σ = 2166248448. Its totient is φ = 231413760.

The previous prime is 738090053. The next prime is 738090109. The reversal of 738090080 is 80090837.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 738090080.

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 31 ways as a sum of consecutive naturals, for example, 2373125 + ... + 2373435.

It is an arithmetic number, because the mean of its divisors is an integer number (11282544).

Almost surely, 2^738090080 is an apocalyptic number.

738090080 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 738090080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083124224).

738090080 is an abundant number, since it is smaller than the sum of its proper divisors (1428158368).

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

738090080 is a wasteful number, since it uses less digits than its factorization.

738090080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 738090080 is about 27167.8133091348. The cubic root of 738090080 is about 903.7253322749.

The spelling of 738090080 in words is "seven hundred thirty-eight million, ninety thousand, eighty".