9790821810 has 320 divisors, whose sum is σ = 33251679360. Its totient is φ = 2032974720.

The previous prime is 9790821797. The next prime is 9790821827. The reversal of 9790821810 is 181280979.

It is a super-2 number, since 2×9790821810² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7130284 + ... + 7131656.

It is an arithmetic number, because the mean of its divisors is an integer number (103911498).

Almost surely, 2^9790821810 is an apocalyptic number.

9790821810 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9790821810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16625839680).

9790821810 is an abundant number, since it is smaller than the sum of its proper divisors (23460857550).

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

9790821810 is a wasteful number, since it uses less digits than its factorization.

9790821810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The square root of 9790821810 is about 98948.5816472374. The cubic root of 9790821810 is about 2139.3066879464.

The spelling of 9790821810 in words is "nine billion, seven hundred ninety million, eight hundred twenty-one thousand, eight hundred ten".