7883090880 has 448 divisors, whose sum is σ = 31162752000. Its totient is φ = 1647378432.

The previous prime is 7883090867. The next prime is 7883090881. The reversal of 7883090880 is 880903887.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7883090881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3701656 + ... + 3703784.

Almost surely, 2^7883090880 is an apocalyptic number.

7883090880 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 7883090880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15581376000).

7883090880 is an abundant number, since it is smaller than the sum of its proper divisors (23279661120).

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

7883090880 is a wasteful number, since it uses less digits than its factorization.

7883090880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2204 (or 2194 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 51.

The square root of 7883090880 is about 88786.7719877235. The cubic root of 7883090880 is about 1990.2097268081.

The spelling of 7883090880 in words is "seven billion, eight hundred eighty-three million, ninety thousand, eight hundred eighty".