827752506 has 64 divisors (see below), whose sum is σ = 1933424640. Its totient is φ = 231376320.

The previous prime is 827752501. The next prime is 827752511. The reversal of 827752506 is 605257728.

It is an interprime number because it is at equal distance from previous prime (827752501) and next prime (827752511).

It is a super-2 number, since 2×827752506² = 1370348422378560072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (827752501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 413500 + ... + 415496.

It is an arithmetic number, because the mean of its divisors is an integer number (30209760).

Almost surely, 2^827752506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 827752506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966712320).

827752506 is an abundant number, since it is smaller than the sum of its proper divisors (1105672134).

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

827752506 is a wasteful number, since it uses less digits than its factorization.

827752506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2219.

The product of its (nonzero) digits is 235200, while the sum is 42.

The square root of 827752506 is about 28770.6883129341. The cubic root of 827752506 is about 938.9306180525.

The spelling of 827752506 in words is "eight hundred twenty-seven million, seven hundred fifty-two thousand, five hundred six".