7826940 has 144 divisors (see below), whose sum is σ = 26732160. Its totient is φ = 1837440.

The previous prime is 7826899. The next prime is 7827019. The reversal of 7826940 is 496287.

It is a super-2 number, since 2×7826940² = 122521979527200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 7826895 and 7826904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116787 + ... + 116853.

It is an arithmetic number, because the mean of its divisors is an integer number (185640).

Almost surely, 2^7826940 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 7826940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13366080).

7826940 is an abundant number, since it is smaller than the sum of its proper divisors (18905220).

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

7826940 is a wasteful number, since it uses less digits than its factorization.

7826940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 7826940 is about 2797.6668851027. Note that the first 3 decimals coincide. The cubic root of 7826940 is about 198.5473072999.

The spelling of 7826940 in words is "seven million, eight hundred twenty-six thousand, nine hundred forty".