7850880000 has 660 divisors, whose sum is σ = 29927795040. Its totient is φ = 1978368000.

The previous prime is 7850879977. The next prime is 7850880019. The reversal of 7850880000 is 880587.

7850880000 is a `hidden beast` number, since 78 + 508 + 80 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 167039977 + ... + 167040023.

It is an arithmetic number, because the mean of its divisors is an integer number (45345144).

Almost surely, 2^7850880000 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 7850880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14963897520).

7850880000 is an abundant number, since it is smaller than the sum of its proper divisors (22076915040).

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

7850880000 is a wasteful number, since it uses less digits than its factorization.

7850880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 7850880000 is about 88605.1917214787. The cubic root of 7850880000 is about 1987.4953126744.

The spelling of 7850880000 in words is "seven billion, eight hundred fifty million, eight hundred eighty thousand".