806919360 has 448 divisors, whose sum is σ = 3010936320. Its totient is φ = 181370880.

The previous prime is 806919313. The next prime is 806919361. The reversal of 806919360 is 63919608.

It is a super-2 number, since 2×806919360² = 1302237707085619200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (806919361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9721879 + ... + 9721961.

It is an arithmetic number, because the mean of its divisors is an integer number (6720840).

Almost surely, 2^806919360 is an apocalyptic number.

806919360 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 806919360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505468160).

806919360 is an abundant number, since it is smaller than the sum of its proper divisors (2204016960).

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

806919360 is a wasteful number, since it uses less digits than its factorization.

806919360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 806919360 is about 28406.3260560038. The cubic root of 806919360 is about 930.9864893514.

The spelling of 806919360 in words is "eight hundred six million, nine hundred nineteen thousand, three hundred sixty".