7829640 has 192 divisors, whose sum is σ = 31449600. Its totient is φ = 1645056.

The previous prime is 7829629. The next prime is 7829671. The reversal of 7829640 is 469287.

7829640 is a `hidden beast` number, since 7 + 8 + 2 + 9 + 640 = 666.

7829640 is digitally balanced in base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×7829640² = 122606525059200, which contains 22 as substring.

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

7829640 is strictly pandigital in base 8.

It is a plaindrome in base 16.

It is a zygodrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 7829595 and 7829604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32641 + ... + 32879.

It is an arithmetic number, because the mean of its divisors is an integer number (163800).

Almost surely, 2^7829640 is an apocalyptic number.

7829640 is a gapful number since it is divisible by the number (70) 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 7829640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15724800).

7829640 is an abundant number, since it is smaller than the sum of its proper divisors (23619960).

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

7829640 is a wasteful number, since it uses less digits than its factorization.

7829640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 269 counting only the distinct ones).

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

The square root of 7829640 is about 2798.1493884351. The cubic root of 7829640 is about 198.5701351270.

The spelling of 7829640 in words is "seven million, eight hundred twenty-nine thousand, six hundred forty".