811309680 has 240 divisors, whose sum is σ = 2842484736. Its totient is φ = 207152640.

The previous prime is 811309607. The next prime is 811309703. The reversal of 811309680 is 86903118.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3638049 + ... + 3638271.

Almost surely, 2^811309680 is an apocalyptic number.

811309680 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 811309680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421242368).

811309680 is an abundant number, since it is smaller than the sum of its proper divisors (2031175056).

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

811309680 is a wasteful number, since it uses less digits than its factorization.

811309680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 811309680 is about 28483.4983806414. The cubic root of 811309680 is about 932.6718862229.

The spelling of 811309680 in words is "eight hundred eleven million, three hundred nine thousand, six hundred eighty".