7825950 has 192 divisors, whose sum is σ = 25712640. Its totient is φ = 1728000.

The previous prime is 7825949. The next prime is 7825973. The reversal of 7825950 is 595287.

It is a super-2 number, since 2×7825950² = 122490986805000, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 252435 + ... + 252465.

It is an arithmetic number, because the mean of its divisors is an integer number (133920).

Almost surely, 2^7825950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7825950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12856320).

7825950 is an abundant number, since it is smaller than the sum of its proper divisors (17886690).

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

7825950 is a wasteful number, since it uses less digits than its factorization.

7825950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 7825950 is about 2797.4899463626. The cubic root of 7825950 is about 198.5389357813.

The spelling of 7825950 in words is "seven million, eight hundred twenty-five thousand, nine hundred fifty".