811616400 has 540 divisors, whose sum is σ = 3383903952. Its totient is φ = 179504640.

The previous prime is 811616347. The next prime is 811616447. The reversal of 811616400 is 4616118.

811616400 is a `hidden beast` number, since 8 + 1 + 1 + 616 + 40 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 7585147 + ... + 7585253.

Almost surely, 2^811616400 is an apocalyptic number.

811616400 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 811616400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691951976).

811616400 is an abundant number, since it is smaller than the sum of its proper divisors (2572287552).

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

811616400 is a wasteful number, since it uses less digits than its factorization.

811616400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 811616400 is about 28488.8820419475. The cubic root of 811616400 is about 932.7894052934.

The spelling of 811616400 in words is "eight hundred eleven million, six hundred sixteen thousand, four hundred".