80073738 has 64 divisors (see below), whose sum is σ = 185673600. Its totient is φ = 25557120.

The previous prime is 80073737. The next prime is 80073739. The reversal of 80073738 is 83737008.

It is an interprime number because it is at equal distance from previous prime (80073737) and next prime (80073739).

It is a super-4 number, since 4×80073738⁴ (a number of 33 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (80073731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130320 + ... + 130932.

It is an arithmetic number, because the mean of its divisors is an integer number (2901150).

Almost surely, 2^80073738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80073738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92836800).

80073738 is an abundant number, since it is smaller than the sum of its proper divisors (105599862).

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

80073738 is a wasteful number, since it uses less digits than its factorization.

80073738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 80073738 is about 8948.3930400938. The cubic root of 80073738 is about 431.0192837735.

The spelling of 80073738 in words is "eighty million, seventy-three thousand, seven hundred thirty-eight".