811077888 has 288 divisors, whose sum is σ = 2483018496. Its totient is φ = 233570304.

The previous prime is 811077859. The next prime is 811077889. The reversal of 811077888 is 888770118.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (811077889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11110620 + ... + 11110692.

It is an arithmetic number, because the mean of its divisors is an integer number (8621592).

Almost surely, 2^811077888 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 811077888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241509248).

811077888 is an abundant number, since it is smaller than the sum of its proper divisors (1671940608).

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

811077888 is a wasteful number, since it uses less digits than its factorization.

811077888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 48.

The square root of 811077888 is about 28479.4292077633. The cubic root of 811077888 is about 932.5830559941.

The spelling of 811077888 in words is "eight hundred eleven million, seventy-seven thousand, eight hundred eighty-eight".