73405880 has 64 divisors (see below), whose sum is σ = 174864960. Its totient is φ = 27675648.

The previous prime is 73405879. The next prime is 73405883. The reversal of 73405880 is 8850437.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 73405880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73405883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66614 + ... + 67706.

It is an arithmetic number, because the mean of its divisors is an integer number (2732265).

Almost surely, 2^73405880 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 73405880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87432480).

73405880 is an abundant number, since it is smaller than the sum of its proper divisors (101459080).

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

73405880 is a wasteful number, since it uses less digits than its factorization.

73405880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 73405880 is about 8567.7231514563. The cubic root of 73405880 is about 418.7070593824.

The spelling of 73405880 in words is "seventy-three million, four hundred five thousand, eight hundred eighty".