7905784320 has 240 divisors, whose sum is σ = 31292015040. Its totient is φ = 1806999552.

The previous prime is 7905784283. The next prime is 7905784321. The reversal of 7905784320 is 234875097.

7905784320 is a `hidden beast` number, since 79 + 0 + 578 + 4 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (7905784321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136771 + ... + 185789.

It is an arithmetic number, because the mean of its divisors is an integer number (130383396).

Almost surely, 2^7905784320 is an apocalyptic number.

7905784320 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7905784320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15646007520).

7905784320 is an abundant number, since it is smaller than the sum of its proper divisors (23386230720).

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

7905784320 is a wasteful number, since it uses less digits than its factorization.

7905784320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49055 (or 49036 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 7905784320 is about 88914.4775613061. The cubic root of 7905784320 is about 1992.1176685705.

The spelling of 7905784320 in words is "seven billion, nine hundred five million, seven hundred eighty-four thousand, three hundred twenty".