7985180970 has 96 divisors (see below), whose sum is σ = 22448409984. Its totient is φ = 1957680000.

The previous prime is 7985180933. The next prime is 7985180989. The reversal of 7985180970 is 790815897.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 280075 + ... + 307265.

It is an arithmetic number, because the mean of its divisors is an integer number (233837604).

Almost surely, 2^7985180970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7985180970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11224204992).

7985180970 is an abundant number, since it is smaller than the sum of its proper divisors (14463229014).

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

7985180970 is a wasteful number, since it uses less digits than its factorization.

7985180970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27468 (or 27465 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 54.

The square root of 7985180970 is about 89359.8398051384. The cubic root of 7985180970 is about 1998.7643175350.

The spelling of 7985180970 in words is "seven billion, nine hundred eighty-five million, one hundred eighty thousand, nine hundred seventy".