73907680 has 144 divisors (see below), whose sum is σ = 221837616. Its totient is φ = 23009280.

The previous prime is 73907677. The next prime is 73907693. The reversal of 73907680 is 8670937.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85812 + ... + 86668.

It is an arithmetic number, because the mean of its divisors is an integer number (1540539).

Almost surely, 2^73907680 is an apocalyptic number.

73907680 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 73907680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110918808).

73907680 is an abundant number, since it is smaller than the sum of its proper divisors (147929936).

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

73907680 is a wasteful number, since it uses less digits than its factorization.

73907680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 40.

The square root of 73907680 is about 8596.9576013843. The cubic root of 73907680 is about 419.6589824462.

The spelling of 73907680 in words is "seventy-three million, nine hundred seven thousand, six hundred eighty".