73786080 has 96 divisors (see below), whose sum is σ = 233622144. Its totient is φ = 19575296.

The previous prime is 73786061. The next prime is 73786081. The reversal of 73786080 is 8068737.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73786081) 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, 166339 + ... + 166781.

It is an arithmetic number, because the mean of its divisors is an integer number (2433564).

Almost surely, 2^73786080 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 73786080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116811072).

73786080 is an abundant number, since it is smaller than the sum of its proper divisors (159836064).

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

73786080 is a wasteful number, since it uses less digits than its factorization.

73786080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 73786080 is about 8589.8824206155. The cubic root of 73786080 is about 419.4287017110.

The spelling of 73786080 in words is "seventy-three million, seven hundred eighty-six thousand, eighty".