829746720 has 384 divisors, whose sum is σ = 3338496000. Its totient is φ = 190356480.

The previous prime is 829746667. The next prime is 829746737. The reversal of 829746720 is 27647928.

829746720 is a `hidden beast` number, since 82 + 97 + 467 + 20 = 666.

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 63 ways as a sum of consecutive naturals, for example, 902421 + ... + 903339.

It is an arithmetic number, because the mean of its divisors is an integer number (8694000).

Almost surely, 2^829746720 is an apocalyptic number.

829746720 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 829746720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669248000).

829746720 is an abundant number, since it is smaller than the sum of its proper divisors (2508749280).

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

829746720 is a wasteful number, since it uses less digits than its factorization.

829746720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 829746720 is about 28805.3245078058. The cubic root of 829746720 is about 939.6840344421.

The spelling of 829746720 in words is "eight hundred twenty-nine million, seven hundred forty-six thousand, seven hundred twenty".