73870800 has 60 divisors (see below), whose sum is σ = 236636640. Its totient is φ = 19698560.

The previous prime is 73870787. The next prime is 73870813. The reversal of 73870800 is 807837.

It is an interprime number because it is at equal distance from previous prime (73870787) and next prime (73870813).

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29580 + ... + 31979.

It is an arithmetic number, because the mean of its divisors is an integer number (3943944).

Almost surely, 2^73870800 is an apocalyptic number.

It is an amenable number.

73870800 is an abundant number, since it is smaller than the sum of its proper divisors (162765840).

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

73870800 is a wasteful number, since it uses less digits than its factorization.

73870800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61580 (or 61569 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 73870800 is about 8594.8123888774. The cubic root of 73870800 is about 419.5891674268.

The spelling of 73870800 in words is "seventy-three million, eight hundred seventy thousand, eight hundred".