826260480 has 352 divisors, whose sum is σ = 3026284800. Its totient is φ = 213663744.

The previous prime is 826260451. The next prime is 826260493. The reversal of 826260480 is 84062628.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5944251 + ... + 5944389.

It is an arithmetic number, because the mean of its divisors is an integer number (8597400).

Almost surely, 2^826260480 is an apocalyptic number.

826260480 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 826260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513142400).

826260480 is an abundant number, since it is smaller than the sum of its proper divisors (2200024320).

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

826260480 is a wasteful number, since it uses less digits than its factorization.

826260480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 826260480 is about 28744.7469983648. The cubic root of 826260480 is about 938.3661371471.

The spelling of 826260480 in words is "eight hundred twenty-six million, two hundred sixty thousand, four hundred eighty".