807348140 has 96 divisors (see below), whose sum is σ = 1801820160. Its totient is φ = 303485184.

The previous prime is 807348107. The next prime is 807348181. The reversal of 807348140 is 41843708.

It is a happy number.

807348140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×807348140² = 1303622038322919200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 807348140.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4834337 + ... + 4834503.

It is an arithmetic number, because the mean of its divisors is an integer number (18768960).

Almost surely, 2^807348140 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 807348140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900910080).

807348140 is an abundant number, since it is smaller than the sum of its proper divisors (994472020).

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

807348140 is a wasteful number, since it uses less digits than its factorization.

807348140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 807348140 is about 28413.8723161768. The cubic root of 807348140 is about 931.1513623738.

The spelling of 807348140 in words is "eight hundred seven million, three hundred forty-eight thousand, one hundred forty".