826977060 has 192 divisors, whose sum is σ = 3166732800. Its totient is φ = 174472704.

The previous prime is 826977059. The next prime is 826977101. The reversal of 826977060 is 60779628.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 826976997 and 826977015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40726 + ... + 57554.

It is an arithmetic number, because the mean of its divisors is an integer number (16493400).

Almost surely, 2^826977060 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 826977060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583366400).

826977060 is an abundant number, since it is smaller than the sum of its proper divisors (2339755740).

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

826977060 is a wasteful number, since it uses less digits than its factorization.

826977060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16867 (or 16859 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 826977060 is about 28757.2088353512. The cubic root of 826977060 is about 938.6373268954.

The spelling of 826977060 in words is "eight hundred twenty-six million, nine hundred seventy-seven thousand, sixty".