806970400 has 72 divisors (see below), whose sum is σ = 1981256004. Its totient is φ = 320947200.

The previous prime is 806970391. The next prime is 806970419. The reversal of 806970400 is 4079608.

It can be written as a sum of positive squares in 6 ways, for example, as 183184 + 806787216 = 428^2 + 28404^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142014 + ... + 147586.

Almost surely, 2^806970400 is an apocalyptic number.

806970400 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 806970400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990628002).

806970400 is an abundant number, since it is smaller than the sum of its proper divisors (1174285604).

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

806970400 is a wasteful number, since it uses less digits than its factorization.

806970400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5774 (or 5761 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 806970400 is about 28407.2244332318. The cubic root of 806970400 is about 931.0061181400.

The spelling of 806970400 in words is "eight hundred six million, nine hundred seventy thousand, four hundred".