7782096 has 160 divisors (see below), whose sum is σ = 25712640. Its totient is φ = 1976832.

The previous prime is 7782067. The next prime is 7782113. The reversal of 7782096 is 6902877.

It is a super-2 number, since 2×7782096² = 121122036306432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146806 + ... + 146858.

It is an arithmetic number, because the mean of its divisors is an integer number (160704).

Almost surely, 2^7782096 is an apocalyptic number.

7782096 is a gapful number since it is divisible by the number (76) 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 7782096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12856320).

7782096 is an abundant number, since it is smaller than the sum of its proper divisors (17930544).

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

7782096 is a wasteful number, since it uses less digits than its factorization.

7782096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 7782096 is about 2789.6408370971. The cubic root of 7782096 is about 198.1673923690.

The spelling of 7782096 in words is "seven million, seven hundred eighty-two thousand, ninety-six".