826280000 has 280 divisors, whose sum is σ = 2532839232. Its totient is φ = 260352000.

The previous prime is 826279997. The next prime is 826280027. The reversal of 826280000 is 82628.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3639887 + ... + 3640113.

Almost surely, 2^826280000 is an apocalyptic number.

826280000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 826280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266419616).

826280000 is an abundant number, since it is smaller than the sum of its proper divisors (1706559232).

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

826280000 is a wasteful number, since it uses less digits than its factorization.

826280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 826280000 is about 28745.0865366587. The cubic root of 826280000 is about 938.3735265694.

Multiplying 826280000 by its reverse (82628), we get a square (68273863840000 = 8262800²).

826280000 divided by its reverse (82628) gives a 4-th power (10000 = 10⁴).

The spelling of 826280000 in words is "eight hundred twenty-six million, two hundred eighty thousand".