811479690 has 192 divisors, whose sum is σ = 2495001600. Its totient is φ = 182891520.

The previous prime is 811479677. The next prime is 811479701. The reversal of 811479690 is 96974118.

It is a happy number.

It is a super-2 number, since 2×811479690² = 1316998574564992200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2994255 + ... + 2994525.

It is an arithmetic number, because the mean of its divisors is an integer number (12994800).

Almost surely, 2^811479690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 811479690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247500800).

811479690 is an abundant number, since it is smaller than the sum of its proper divisors (1683521910).

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

811479690 is a wasteful number, since it uses less digits than its factorization.

811479690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 811479690 is about 28486.4825838502. The cubic root of 811479690 is about 932.7370288258.

The spelling of 811479690 in words is "eight hundred eleven million, four hundred seventy-nine thousand, six hundred ninety".