818681400 has 72 divisors (see below), whose sum is σ = 2749411080. Its totient is φ = 218314560.

The previous prime is 818681377. The next prime is 818681419. The reversal of 818681400 is 4186818.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 225612 + ... + 229211.

It is an arithmetic number, because the mean of its divisors is an integer number (38186265).

Almost surely, 2^818681400 is an apocalyptic number.

It is an amenable number.

818681400 is an abundant number, since it is smaller than the sum of its proper divisors (1930729680).

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

818681400 is a wasteful number, since it uses less digits than its factorization.

818681400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454845 (or 454833 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 818681400 is about 28612.6091085731. The cubic root of 818681400 is about 935.4881872047.

The spelling of 818681400 in words is "eight hundred eighteen million, six hundred eighty-one thousand, four hundred".