7842744 has 240 divisors, whose sum is σ = 28967400. Its totient is φ = 1959552.

The previous prime is 7842733. The next prime is 7842761. The reversal of 7842744 is 4472487.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (50176) is a multiple of the sum of its prime factors (64).

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 7842699 and 7842708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 412767 + ... + 412785.

Almost surely, 2^7842744 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 7842744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14483700).

7842744 is an abundant number, since it is smaller than the sum of its proper divisors (21124656).

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

7842744 is a wasteful number, since it uses less digits than its factorization.

7842744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 44 counting only the distinct ones).

The product of its digits is 50176, while the sum is 36.

The square root of 7842744 is about 2800.4899571325. The cubic root of 7842744 is about 198.6808517015.

Adding to 7842744 its sum of digits (36), we get a triangular number (7842780 = T₃₉₆₀).

The spelling of 7842744 in words is "seven million, eight hundred forty-two thousand, seven hundred forty-four".