826261800 has 384 divisors, whose sum is σ = 3245625600. Its totient is φ = 169205760.

The previous prime is 826261781. The next prime is 826261819. The reversal of 826261800 is 8162628.

It is an interprime number because it is at equal distance from previous prime (826261781) and next prime (826261819).

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, 2019996 + ... + 2020404.

It is an arithmetic number, because the mean of its divisors is an integer number (8452150).

Almost surely, 2^826261800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 826261800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622812800).

826261800 is an abundant number, since it is smaller than the sum of its proper divisors (2419363800).

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

826261800 is a wasteful number, since it uses less digits than its factorization.

826261800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 826261800 is about 28744.7699590726. The cubic root of 826261800 is about 938.3666368453.

The spelling of 826261800 in words is "eight hundred twenty-six million, two hundred sixty-one thousand, eight hundred".