7897729840 has 480 divisors, whose sum is σ = 25569988416. Its totient is φ = 2229534720.

The previous prime is 7897729799. The next prime is 7897729843. The reversal of 7897729840 is 489277987.

It is not an unprimeable number, because it can be changed into a prime (7897729843) 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 95 ways as a sum of consecutive naturals, for example, 40920784 + ... + 40920976.

Almost surely, 2^7897729840 is an apocalyptic number.

7897729840 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 7897729840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12784994208).

7897729840 is an abundant number, since it is smaller than the sum of its proper divisors (17672258576).

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

7897729840 is a wasteful number, since it uses less digits than its factorization.

7897729840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 61.

The square root of 7897729840 is about 88869.1726078284. The cubic root of 7897729840 is about 1991.4409099069.

It can be divided in two parts, 7897 and 729840, that added together give a palindrome (737737).

The spelling of 7897729840 in words is "seven billion, eight hundred ninety-seven million, seven hundred twenty-nine thousand, eight hundred forty".