825376950 has 72 divisors (see below), whose sum is σ = 2259417888. Its totient is φ = 215941440.

The previous prime is 825376943. The next prime is 825376957. The reversal of 825376950 is 59673528.

It is a happy number.

825376950 is a `hidden beast` number, since 8 + 2 + 537 + 69 + 50 = 666.

It is an interprime number because it is at equal distance from previous prime (825376943) and next prime (825376957).

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

It is a junction number, because it is equal to n+sod(n) for n = 825376896 and 825376905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825376957) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6547 + ... + 41153.

It is an arithmetic number, because the mean of its divisors is an integer number (31380804).

Almost surely, 2^825376950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825376950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129708944).

825376950 is an abundant number, since it is smaller than the sum of its proper divisors (1434040938).

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

825376950 is a wasteful number, since it uses less digits than its factorization.

825376950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34678 (or 34670 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 825376950 is about 28729.3743405595. The cubic root of 825376950 is about 938.0315492288.

The spelling of 825376950 in words is "eight hundred twenty-five million, three hundred seventy-six thousand, nine hundred fifty".