7895380080 has 640 divisors, whose sum is σ = 31083724800. Its totient is φ = 1617408000.

The previous prime is 7895380037. The next prime is 7895380109. The reversal of 7895380080 is 800835987.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 78172030 + ... + 78172130.

It is an arithmetic number, because the mean of its divisors is an integer number (48568320).

Almost surely, 2^7895380080 is an apocalyptic number.

7895380080 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 7895380080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15541862400).

7895380080 is an abundant number, since it is smaller than the sum of its proper divisors (23188344720).

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

7895380080 is a wasteful number, since it uses less digits than its factorization.

7895380080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The square root of 7895380080 is about 88855.9512919647. The cubic root of 7895380080 is about 1991.2433901790.

The spelling of 7895380080 in words is "seven billion, eight hundred ninety-five million, three hundred eighty thousand, eighty".