71800800 has 72 divisors (see below), whose sum is σ = 233719416. Its totient is φ = 19146240.

The previous prime is 71800793. The next prime is 71800801. The reversal of 71800800 is 800817.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71800801) by changing a digit.

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, 12559 + ... + 17358.

It is an arithmetic number, because the mean of its divisors is an integer number (3246103).

Almost surely, 2^71800800 is an apocalyptic number.

It is an amenable number.

71800800 is an abundant number, since it is smaller than the sum of its proper divisors (161918616).

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

71800800 is a wasteful number, since it uses less digits than its factorization.

71800800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29940 (or 29927 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 71800800 is about 8473.5352716561. The cubic root of 71800800 is about 415.6327503407.

The spelling of 71800800 in words is "seventy-one million, eight hundred thousand, eight hundred".