826407888 has 80 divisors (see below), whose sum is σ = 2278217280. Its totient is φ = 257375232.

The previous prime is 826407887. The next prime is 826407899. The reversal of 826407888 is 888704628.

826407888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 826407888.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (826407887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60370 + ... + 72782.

It is an arithmetic number, because the mean of its divisors is an integer number (28477716).

Almost surely, 2^826407888 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 826407888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139108640).

826407888 is an abundant number, since it is smaller than the sum of its proper divisors (1451809392).

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

826407888 is a wasteful number, since it uses less digits than its factorization.

826407888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12516 (or 12510 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 51.

The square root of 826407888 is about 28747.3109698977. The cubic root of 826407888 is about 938.4219365203.

The spelling of 826407888 in words is "eight hundred twenty-six million, four hundred seven thousand, eight hundred eighty-eight".