7087083920 has 80 divisors (see below), whose sum is σ = 19014378240. Its totient is φ = 2406246912.

The previous prime is 7087083911. The next prime is 7087083929. The reversal of 7087083920 is 293807807.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7087083911) and next prime (7087083929).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (7087083929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3755 + ... + 119114.

It is an arithmetic number, because the mean of its divisors is an integer number (237679728).

Almost surely, 2^7087083920 is an apocalyptic number.

7087083920 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 7087083920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9507189120).

7087083920 is an abundant number, since it is smaller than the sum of its proper divisors (11927294320).

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

7087083920 is a wasteful number, since it uses less digits than its factorization.

7087083920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122992 (or 122986 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 44.

The square root of 7087083920 is about 84184.8200093105. The cubic root of 7087083920 is about 1920.8311577948.

The spelling of 7087083920 in words is "seven billion, eighty-seven million, eighty-three thousand, nine hundred twenty".