8007023850 has 144 divisors (see below), whose sum is σ = 23724561888. Its totient is φ = 1780652160.

The previous prime is 8007023803. The next prime is 8007023863. The reversal of 8007023850 is 583207008.

It is a super-2 number, since 2×8007023850² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 257229 + ... + 286671.

It is an arithmetic number, because the mean of its divisors is an integer number (164753902).

Almost surely, 2^8007023850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8007023850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11862280944).

8007023850 is an abundant number, since it is smaller than the sum of its proper divisors (15717538038).

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

8007023850 is a wasteful number, since it uses less digits than its factorization.

8007023850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29509 (or 29497 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 8007023850 is about 89481.9750005553. The cubic root of 8007023850 is about 2000.5851496166.

The spelling of 8007023850 in words is "eight billion, seven million, twenty-three thousand, eight hundred fifty".