7885038000 has 640 divisors, whose sum is σ = 31457986560. Its totient is φ = 1658880000.

The previous prime is 7885037989. The next prime is 7885038017. The reversal of 7885038000 is 8305887.

It is a super-2 number, since 2×7885038000² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 7885038000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32717880 + ... + 32718120.

It is an arithmetic number, because the mean of its divisors is an integer number (49153104).

Almost surely, 2^7885038000 is an apocalyptic number.

7885038000 is a gapful number since it is divisible by the number (70) 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 7885038000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15728993280).

7885038000 is an abundant number, since it is smaller than the sum of its proper divisors (23572948560).

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

7885038000 is a wasteful number, since it uses less digits than its factorization.

7885038000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 7885038000 is about 88797.7364576373. The cubic root of 7885038000 is about 1990.3735736295.

The spelling of 7885038000 in words is "seven billion, eight hundred eighty-five million, thirty-eight thousand".