7882875000 has 1008 divisors, whose sum is σ = 36470626920. Its totient is φ = 1512000000.

The previous prime is 7882874969. The next prime is 7882875019. The reversal of 7882875000 is 5782887.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 251 ways as a sum of consecutive naturals, for example, 606374994 + ... + 606375006.

Almost surely, 2^7882875000 is an apocalyptic number.

7882875000 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 7882875000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18235313460).

7882875000 is an abundant number, since it is smaller than the sum of its proper divisors (28587751920).

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

7882875000 is a wasteful number, since it uses less digits than its factorization.

7882875000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The square root of 7882875000 is about 88785.5562577608. The cubic root of 7882875000 is about 1990.1915592135.

The spelling of 7882875000 in words is "seven billion, eight hundred eighty-two million, eight hundred seventy-five thousand".