811478976 has 224 divisors, whose sum is σ = 2703697920. Its totient is φ = 208665600.

The previous prime is 811478963. The next prime is 811478977. The reversal of 811478976 is 679874118.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (811478977) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1936495 + ... + 1936913.

It is an arithmetic number, because the mean of its divisors is an integer number (12070080).

Almost surely, 2^811478976 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 811478976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351848960).

811478976 is an abundant number, since it is smaller than the sum of its proper divisors (1892218944).

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

811478976 is a wasteful number, since it uses less digits than its factorization.

811478976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 573 counting only the distinct ones).

The product of its digits is 677376, while the sum is 51.

The square root of 811478976 is about 28486.4700515876. The cubic root of 811478976 is about 932.7367552620.

The spelling of 811478976 in words is "eight hundred eleven million, four hundred seventy-eight thousand, nine hundred seventy-six".