7852394880 has 512 divisors, whose sum is σ = 30697920000. Its totient is φ = 1881169920.

The previous prime is 7852394863. The next prime is 7852394897. The reversal of 7852394880 is 884932587.

It is a happy number.

7852394880 is a `hidden beast` number, since 78 + 523 + 9 + 48 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (7852394863) and next prime (7852394897).

It is a super-5 number, since 5×7852394880⁵ (a number of 51 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20718531 + ... + 20718909.

It is an arithmetic number, because the mean of its divisors is an integer number (59956875).

Almost surely, 2^7852394880 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 7852394880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15348960000).

7852394880 is an abundant number, since it is smaller than the sum of its proper divisors (22845525120).

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

7852394880 is a wasteful number, since it uses less digits than its factorization.

7852394880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The square root of 7852394880 is about 88613.7397924272. The cubic root of 7852394880 is about 1987.6231379741.

The spelling of 7852394880 in words is "seven billion, eight hundred fifty-two million, three hundred ninety-four thousand, eight hundred eighty".