73946880 has 324 divisors, whose sum is σ = 299891592. Its totient is φ = 16773120.

The previous prime is 73946857. The next prime is 73946891. The reversal of 73946880 is 8864937.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 564415 + ... + 564545.

Almost surely, 2^73946880 is an apocalyptic number.

73946880 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 73946880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149945796).

73946880 is an abundant number, since it is smaller than the sum of its proper divisors (225944712).

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

73946880 is a wasteful number, since it uses less digits than its factorization.

73946880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 73946880 is about 8599.2371754709. The cubic root of 73946880 is about 419.7331638418.

The spelling of 73946880 in words is "seventy-three million, nine hundred forty-six thousand, eight hundred eighty".