809676972 has 252 divisors, whose sum is σ = 2419429824. Its totient is φ = 236545920.

The previous prime is 809676953. The next prime is 809676991. The reversal of 809676972 is 279676908.

It is an interprime number because it is at equal distance from previous prime (809676953) and next prime (809676991).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 15276898 + ... + 15276950.

It is an arithmetic number, because the mean of its divisors is an integer number (9600912).

Almost surely, 2^809676972 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 809676972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209714912).

809676972 is an abundant number, since it is smaller than the sum of its proper divisors (1609752852).

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

809676972 is a wasteful number, since it uses less digits than its factorization.

809676972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 809676972 is about 28454.8233521138. The cubic root of 809676972 is about 932.0458188775.

The spelling of 809676972 in words is "eight hundred nine million, six hundred seventy-six thousand, nine hundred seventy-two".