829649988720 has 1280 divisors, whose sum is σ = 3607769088000. Its totient is φ = 170863976448.

The previous prime is 829649988709. The next prime is 829649988731. The reversal of 829649988720 is 27889946928.

829649988720 = T₁₀₁₄₃₉ + T₁₀₁₄₄₀ + ... + T₁₀₁₅₉₉.

It is an interprime number because it is at equal distance from previous prime (829649988709) and next prime (829649988731).

It is a super-2 number, since 2×829649988720² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 2028483876 + ... + 2028484284.

It is an arithmetic number, because the mean of its divisors is an integer number (2818569600).

Almost surely, 2^829649988720 is an apocalyptic number.

829649988720 is a gapful number since it is divisible by the number (80) 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 829649988720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1803884544000).

829649988720 is an abundant number, since it is smaller than the sum of its proper divisors (2778119099280).

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

829649988720 is a wasteful number, since it uses less digits than its factorization.

829649988720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 829649988720 in words is "eight hundred twenty-nine billion, six hundred forty-nine million, nine hundred eighty-eight thousand, seven hundred twenty".