811776000 has 384 divisors, whose sum is σ = 3107220480. Its totient is φ = 184320000.

The previous prime is 811775971. The next prime is 811776011. The reversal of 811776000 is 677118.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5375925 + ... + 5376075.

It is an arithmetic number, because the mean of its divisors is an integer number (8091720).

Almost surely, 2^811776000 is an apocalyptic number.

811776000 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 811776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553610240).

811776000 is an abundant number, since it is smaller than the sum of its proper divisors (2295444480).

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

811776000 is a wasteful number, since it uses less digits than its factorization.

811776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 30.

The square root of 811776000 is about 28491.6829969730. The cubic root of 811776000 is about 932.8505439593.

The spelling of 811776000 in words is "eight hundred eleven million, seven hundred seventy-six thousand".