7884938880 has 768 divisors, whose sum is σ = 34306272000. Its totient is φ = 1658216448.

The previous prime is 7884938857. The next prime is 7884938911. The reversal of 7884938880 is 888394887.

It is a super-2 number, since 2×7884938880² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25683687 + ... + 25683993.

It is an arithmetic number, because the mean of its divisors is an integer number (44669625).

Almost surely, 2^7884938880 is an apocalyptic number.

7884938880 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 7884938880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17153136000).

7884938880 is an abundant number, since it is smaller than the sum of its proper divisors (26421333120).

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

7884938880 is a wasteful number, since it uses less digits than its factorization.

7884938880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 63.

The square root of 7884938880 is about 88797.1783335484. The cubic root of 7884938880 is about 1990.3652335025.

The spelling of 7884938880 in words is "seven billion, eight hundred eighty-four million, nine hundred thirty-eight thousand, eight hundred eighty".