807380000 has 240 divisors, whose sum is σ = 2330254080. Its totient is φ = 269568000.

The previous prime is 807379987. The next prime is 807380047. The reversal of 807380000 is 83708.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10219961 + ... + 10220039.

It is an arithmetic number, because the mean of its divisors is an integer number (9709392).

Almost surely, 2^807380000 is an apocalyptic number.

807380000 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 807380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165127040).

807380000 is an abundant number, since it is smaller than the sum of its proper divisors (1522874080).

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

807380000 is an equidigital number, since it uses as much as digits as its factorization.

807380000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 807380000 is about 28414.4329522868. The cubic root of 807380000 is about 931.1636107421.

The spelling of 807380000 in words is "eight hundred seven million, three hundred eighty thousand".