7869040380 has 384 divisors, whose sum is σ = 27216000000. Its totient is φ = 1879428096.

The previous prime is 7869040369. The next prime is 7869040381. The reversal of 7869040380 is 830409687.

It is a happy number.

7869040380 is a `hidden beast` number, since 7 + 86 + 90 + 403 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7869040381) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15769371 + ... + 15769869.

It is an arithmetic number, because the mean of its divisors is an integer number (70875000).

Almost surely, 2^7869040380 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 7869040380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13608000000).

7869040380 is an abundant number, since it is smaller than the sum of its proper divisors (19346959620).

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

7869040380 is a wasteful number, since it uses less digits than its factorization.

7869040380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 7869040380 is about 88707.6117365359. The cubic root of 7869040380 is about 1989.0266007012.

The spelling of 7869040380 in words is "seven billion, eight hundred sixty-nine million, forty thousand, three hundred eighty".