826677040 has 240 divisors, whose sum is σ = 2390793408. Its totient is φ = 264456192.

The previous prime is 826677011. The next prime is 826677041. The reversal of 826677040 is 40776628.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 826676984 and 826677002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (826677041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4778394 + ... + 4778566.

Almost surely, 2^826677040 is an apocalyptic number.

826677040 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 826677040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195396704).

826677040 is an abundant number, since it is smaller than the sum of its proper divisors (1564116368).

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

826677040 is a wasteful number, since it uses less digits than its factorization.

826677040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The square root of 826677040 is about 28751.9919309950. The cubic root of 826677040 is about 938.5238033785.

The spelling of 826677040 in words is "eight hundred twenty-six million, six hundred seventy-seven thousand, forty".