9802540800 has 972 divisors, whose sum is σ = 40700598120. Its totient is φ = 2242805760.

The previous prime is 9802540733. The next prime is 9802540859. The reversal of 9802540800 is 80452089.

It is a super-2 number, since 2×9802540800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 184953574 + ... + 184953626.

Almost surely, 2^9802540800 is an apocalyptic number.

9802540800 is a gapful number since it is divisible by the number (90) 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 9802540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20350299060).

9802540800 is an abundant number, since it is smaller than the sum of its proper divisors (30898057320).

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

9802540800 is a wasteful number, since it uses less digits than its factorization.

9802540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 9802540800 is about 99007.7815123640. The cubic root of 9802540800 is about 2140.1598855707.

Adding to 9802540800 its reverse (80452089), we get a palindrome (9882992889).

The spelling of 9802540800 in words is "nine billion, eight hundred two million, five hundred forty thousand, eight hundred".