7829498880 has 1056 divisors, whose sum is σ = 34334576640. Its totient is φ = 1672151040.

The previous prime is 7829498863. The next prime is 7829498881. The reversal of 7829498880 is 888949287.

It is a happy number.

It is a super-2 number, since 2×7829498880² (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 (7829498881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 252564465 + ... + 252564495.

Almost surely, 2^7829498880 is an apocalyptic number.

7829498880 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 7829498880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17167288320).

7829498880 is an abundant number, since it is smaller than the sum of its proper divisors (26505077760).

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

7829498880 is a wasteful number, since it uses less digits than its factorization.

7829498880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The square root of 7829498880 is about 88484.4555840177. The cubic root of 7829498880 is about 1985.6894212260.

The spelling of 7829498880 in words is "seven billion, eight hundred twenty-nine million, four hundred ninety-eight thousand, eight hundred eighty".