7077985920 has 192 divisors, whose sum is σ = 25284565800. Its totient is φ = 1822334976.

The previous prime is 7077985913. The next prime is 7077985931. The reversal of 7077985920 is 295897707.

It can be written as a sum of positive squares in 4 ways, for example, as 3975050304 + 3102935616 = 63048^2 + 55704^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145854 + ... + 188226.

Almost surely, 2^7077985920 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 7077985920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12642282900).

7077985920 is an abundant number, since it is smaller than the sum of its proper divisors (18206579880).

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

7077985920 is a wasteful number, since it uses less digits than its factorization.

7077985920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42427 (or 42412 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 54.

The square root of 7077985920 is about 84130.7667859981. The cubic root of 7077985920 is about 1920.0088541258.

The spelling of 7077985920 in words is "seven billion, seventy-seven million, nine hundred eighty-five thousand, nine hundred twenty".