7675893120 has 384 divisors, whose sum is σ = 28833719040. Its totient is φ = 1731588096.

The previous prime is 7675893107. The next prime is 7675893151. The reversal of 7675893120 is 213985767.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 7675893120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7808149 + ... + 7809131.

It is an arithmetic number, because the mean of its divisors is an integer number (75087810).

Almost surely, 2^7675893120 is an apocalyptic number.

7675893120 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 7675893120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14416859520).

7675893120 is an abundant number, since it is smaller than the sum of its proper divisors (21157825920).

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

7675893120 is a wasteful number, since it uses less digits than its factorization.

7675893120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The square root of 7675893120 is about 87612.1744964705. The cubic root of 7675893120 is about 1972.6179149167.

The spelling of 7675893120 in words is "seven billion, six hundred seventy-five million, eight hundred ninety-three thousand, one hundred twenty".