826240800 has 576 divisors, whose sum is σ = 3563771904. Its totient is φ = 160972800.

The previous prime is 826240781. The next prime is 826240801. The reversal of 826240800 is 8042628.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (826240801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3141469 + ... + 3141731.

It is an arithmetic number, because the mean of its divisors is an integer number (6187104).

Almost surely, 2^826240800 is an apocalyptic number.

826240800 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 826240800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781885952).

826240800 is an abundant number, since it is smaller than the sum of its proper divisors (2737531104).

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

826240800 is a wasteful number, since it uses less digits than its factorization.

826240800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 826240800 is about 28744.4046729098. The cubic root of 826240800 is about 938.3586870380.

It can be divided in two parts, 8262 and 40800, that multiplied together give a square (337089600 = 18360²).

The spelling of 826240800 in words is "eight hundred twenty-six million, two hundred forty thousand, eight hundred".