7077805672 has 128 divisors (see below), whose sum is σ = 16763904000. Its totient is φ = 2733108480.

The previous prime is 7077805643. The next prime is 7077805741. The reversal of 7077805672 is 2765087707.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1944238 + ... + 1947874.

It is an arithmetic number, because the mean of its divisors is an integer number (130968000).

Almost surely, 2^7077805672 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 7077805672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8381952000).

7077805672 is an abundant number, since it is smaller than the sum of its proper divisors (9686098328).

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

7077805672 is a wasteful number, since it uses less digits than its factorization.

7077805672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3759 (or 3755 counting only the distinct ones).

The product of its (nonzero) digits is 1152480, while the sum is 49.

The square root of 7077805672 is about 84129.6955420617. The cubic root of 7077805672 is about 1919.9925556714.

The spelling of 7077805672 in words is "seven billion, seventy-seven million, eight hundred five thousand, six hundred seventy-two".