73982880 has 144 divisors (see below), whose sum is σ = 255921120. Its totient is φ = 19459584.

The previous prime is 73982849. The next prime is 73982891. The reversal of 73982880 is 8828937.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 119211 + ... + 119829.

It is an arithmetic number, because the mean of its divisors is an integer number (1777230).

Almost surely, 2^73982880 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 73982880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127960560).

73982880 is an abundant number, since it is smaller than the sum of its proper divisors (181938240).

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

73982880 is a wasteful number, since it uses less digits than its factorization.

73982880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 73982880 is about 8601.3301296951. The cubic root of 73982880 is about 419.8012665233.

The spelling of 73982880 in words is "seventy-three million, nine hundred eighty-two thousand, eight hundred eighty".