73846080 has 560 divisors, whose sum is σ = 336352896. Its totient is φ = 14929920.

The previous prime is 73846067. The next prime is 73846109. The reversal of 73846080 is 8064837.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 1995822 + ... + 1995858.

Almost surely, 2^73846080 is an apocalyptic number.

73846080 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 73846080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168176448).

73846080 is an abundant number, since it is smaller than the sum of its proper divisors (262506816).

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

73846080 is a wasteful number, since it uses less digits than its factorization.

73846080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 73846080 is about 8593.3741917829. The cubic root of 73846080 is about 419.5423586678.

The spelling of 73846080 in words is "seventy-three million, eight hundred forty-six thousand, eighty".