811400016 has 240 divisors, whose sum is σ = 2614594560. Its totient is φ = 215550720.

The previous prime is 811399993. The next prime is 811400027. The reversal of 811400016 is 610004118.

811400016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 811399965 and 811400001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2993961 + ... + 2994231.

It is an arithmetic number, because the mean of its divisors is an integer number (10894144).

Almost surely, 2^811400016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 811400016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307297280).

811400016 is an abundant number, since it is smaller than the sum of its proper divisors (1803194544).

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

811400016 is a wasteful number, since it uses less digits than its factorization.

811400016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 811400016 is about 28485.0840967690. The cubic root of 811400016 is about 932.7065013325.

The spelling of 811400016 in words is "eight hundred eleven million, four hundred thousand, sixteen".