7905745920 has 264 divisors, whose sum is σ = 25946363664. Its totient is φ = 2054488064.

The previous prime is 7905745879. The next prime is 7905745921. The reversal of 7905745920 is 295475097.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 7905745920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7905745921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33930124 + ... + 33930356.

Almost surely, 2^7905745920 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 7905745920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12973181832).

7905745920 is an abundant number, since it is smaller than the sum of its proper divisors (18040617744).

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

7905745920 is a wasteful number, since it uses less digits than its factorization.

7905745920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 48.

The square root of 7905745920 is about 88914.2616232064. The cubic root of 7905745920 is about 1992.1144431919.

The spelling of 7905745920 in words is "seven billion, nine hundred five million, seven hundred forty-five thousand, nine hundred twenty".