7846282080 has 480 divisors, whose sum is σ = 34086153024. Its totient is φ = 1655230464.

The previous prime is 7846282057. The next prime is 7846282091. The reversal of 7846282080 is 802826487.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1176034 + ... + 1182686.

Almost surely, 2^7846282080 is an apocalyptic number.

7846282080 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 7846282080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17043076512).

7846282080 is an abundant number, since it is smaller than the sum of its proper divisors (26239870944).

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

7846282080 is a wasteful number, since it uses less digits than its factorization.

7846282080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6700 (or 6683 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 7846282080 is about 88579.2418120634. The cubic root of 7846282080 is about 1987.1072402967.

The spelling of 7846282080 in words is "seven billion, eight hundred forty-six million, two hundred eighty-two thousand, eighty".