7842997800 has 576 divisors, whose sum is σ = 30716337600. Its totient is φ = 1824076800.

The previous prime is 7842997733. The next prime is 7842997801. The reversal of 7842997800 is 87992487.

It is a super-2 number, since 2×7842997800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (7842997801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 49955322 + ... + 49955478.

It is an arithmetic number, because the mean of its divisors is an integer number (53326975).

Almost surely, 2^7842997800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7842997800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15358168800).

7842997800 is an abundant number, since it is smaller than the sum of its proper divisors (22873339800).

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

7842997800 is a wasteful number, since it uses less digits than its factorization.

7842997800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 7842997800 is about 88560.7012167361. The cubic root of 7842997800 is about 1986.8299485684.

The spelling of 7842997800 in words is "seven billion, eight hundred forty-two million, nine hundred ninety-seven thousand, eight hundred".