73856080 has 20 divisors (see below), whose sum is σ = 171715572. Its totient is φ = 29542400.

The previous prime is 73856053. The next prime is 73856087. The reversal of 73856080 is 8065837.

It can be written as a sum of positive squares in 2 ways, for example, as 45212176 + 28643904 = 6724^2 + 5352^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73856087) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 461521 + ... + 461680.

Almost surely, 2^73856080 is an apocalyptic number.

It is an amenable number.

73856080 is an abundant number, since it is smaller than the sum of its proper divisors (97859492).

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

73856080 is a wasteful number, since it uses less digits than its factorization.

73856080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923214 (or 923208 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 73856080 is about 8593.9560157124. The cubic root of 73856080 is about 419.5612955079.

The spelling of 73856080 in words is "seventy-three million, eight hundred fifty-six thousand, eighty".