7853766480 has 600 divisors, whose sum is σ = 32263161216. Its totient is φ = 1734359040.

The previous prime is 7853766443. The next prime is 7853766491. The reversal of 7853766480 is 846673587.

7853766480 is a `hidden beast` number, since 7 + 8 + 537 + 66 + 48 + 0 = 666.

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 119 ways as a sum of consecutive naturals, for example, 76250109 + ... + 76250211.

Almost surely, 2^7853766480 is an apocalyptic number.

7853766480 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 7853766480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16131580608).

7853766480 is an abundant number, since it is smaller than the sum of its proper divisors (24409394736).

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

7853766480 is a wasteful number, since it uses less digits than its factorization.

7853766480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The square root of 7853766480 is about 88621.4786606498. The cubic root of 7853766480 is about 1987.7388591530.

The spelling of 7853766480 in words is "seven billion, eight hundred fifty-three million, seven hundred sixty-six thousand, four hundred eighty".