811328400 has 360 divisors, whose sum is σ = 3097864224. Its totient is φ = 203212800.

The previous prime is 811328387. The next prime is 811328407. The reversal of 811328400 is 4823118.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (811328407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1652155 + ... + 1652645.

Almost surely, 2^811328400 is an apocalyptic number.

811328400 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 811328400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548932112).

811328400 is an abundant number, since it is smaller than the sum of its proper divisors (2286535824).

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

811328400 is a wasteful number, since it uses less digits than its factorization.

811328400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 518 counting only the distinct ones).

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

The square root of 811328400 is about 28483.8269900658. The cubic root of 811328400 is about 932.6790595969.

The spelling of 811328400 in words is "eight hundred eleven million, three hundred twenty-eight thousand, four hundred".