806795760 has 80 divisors (see below), whose sum is σ = 2542114080. Its totient is φ = 211614720.

The previous prime is 806795723. The next prime is 806795761. The reversal of 806795760 is 67597608.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806795761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12915 + ... + 42194.

It is an arithmetic number, because the mean of its divisors is an integer number (31776426).

Almost surely, 2^806795760 is an apocalyptic number.

806795760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

806795760 is an abundant number, since it is smaller than the sum of its proper divisors (1735318320).

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

806795760 is a wasteful number, since it uses less digits than its factorization.

806795760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55186 (or 55180 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The square root of 806795760 is about 28404.1504009537. The cubic root of 806795760 is about 930.9389522568.

The spelling of 806795760 in words is "eight hundred six million, seven hundred ninety-five thousand, seven hundred sixty".