73766680 has 64 divisors (see below), whose sum is σ = 180311040. Its totient is φ = 26998272.

The previous prime is 73766677. The next prime is 73766699. The reversal of 73766680 is 8666737.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65482 + ... + 66598.

It is an arithmetic number, because the mean of its divisors is an integer number (2817360).

Almost surely, 2^73766680 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 73766680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90155520).

73766680 is an abundant number, since it is smaller than the sum of its proper divisors (106544360).

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

73766680 is a wasteful number, since it uses less digits than its factorization.

73766680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 43.

The square root of 73766680 is about 8588.7531109003. The cubic root of 73766680 is about 419.3919394471.

The spelling of 73766680 in words is "seventy-three million, seven hundred sixty-six thousand, six hundred eighty".