825966720 has 384 divisors, whose sum is σ = 3047466240. Its totient is φ = 213663744.

The previous prime is 825966683. The next prime is 825966763. The reversal of 825966720 is 27669528.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 7309384 + ... + 7309496.

It is an arithmetic number, because the mean of its divisors is an integer number (7936110).

Almost surely, 2^825966720 is an apocalyptic number.

825966720 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 825966720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523733120).

825966720 is an abundant number, since it is smaller than the sum of its proper divisors (2221499520).

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

825966720 is a wasteful number, since it uses less digits than its factorization.

825966720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 825966720 is about 28739.6367409193. The cubic root of 825966720 is about 938.2549183417.

The spelling of 825966720 in words is "eight hundred twenty-five million, nine hundred sixty-six thousand, seven hundred twenty".