826749840 has 80 divisors (see below), whose sum is σ = 2929062528. Its totient is φ = 188971008.

The previous prime is 826749839. The next prime is 826749851. The reversal of 826749840 is 48947628.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 826749840.

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 15 ways as a sum of consecutive naturals, for example, 244377 + ... + 247736.

Almost surely, 2^826749840 is an apocalyptic number.

826749840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

826749840 is an abundant number, since it is smaller than the sum of its proper divisors (2102312688).

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

826749840 is a wasteful number, since it uses less digits than its factorization.

826749840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492136 (or 492130 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 826749840 is about 28753.2579023665. The cubic root of 826749840 is about 938.5513524390.

The spelling of 826749840 in words is "eight hundred twenty-six million, seven hundred forty-nine thousand, eight hundred forty".