7999409880 has 1024 divisors, whose sum is σ = 35831808000. Its totient is φ = 1538611200.

The previous prime is 7999409843. The next prime is 7999409881. The reversal of 7999409880 is 889049997.

It is a super-2 number, since 2×7999409880² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7999409881) 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 255 ways as a sum of consecutive naturals, for example, 74760787 + ... + 74760893.

It is an arithmetic number, because the mean of its divisors is an integer number (34992000).

Almost surely, 2^7999409880 is an apocalyptic number.

7999409880 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 7999409880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17915904000).

7999409880 is an abundant number, since it is smaller than the sum of its proper divisors (27832398120).

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

7999409880 is a wasteful number, since it uses less digits than its factorization.

7999409880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 63.

The square root of 7999409880 is about 89439.4201680668. The cubic root of 7999409880 is about 1999.9508221241.

The spelling of 7999409880 in words is "seven billion, nine hundred ninety-nine million, four hundred nine thousand, eight hundred eighty".