810086400 has 312 divisors, whose sum is σ = 2986110960. Its totient is φ = 215285760.

The previous prime is 810086383. The next prime is 810086401. The reversal of 810086400 is 4680018.

810086400 is a `hidden beast` number, since 8 + 10 + 0 + 8 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (810086401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2764654 + ... + 2764946.

Almost surely, 2^810086400 is an apocalyptic number.

810086400 is a gapful number since it is divisible by the number (80) 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 810086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493055480).

810086400 is an abundant number, since it is smaller than the sum of its proper divisors (2176024560).

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

810086400 is a wasteful number, since it uses less digits than its factorization.

810086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 810086400 is about 28462.0167943173. The cubic root of 810086400 is about 932.2028944212.

The spelling of 810086400 in words is "eight hundred ten million, eighty-six thousand, four hundred".