7896840 has 192 divisors, whose sum is σ = 29548800. Its totient is φ = 1677312.

The previous prime is 7896829. The next prime is 7896859. The reversal of 7896840 is 486987.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 7896792 and 7896801.

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, 99921 + ... + 99999.

It is an arithmetic number, because the mean of its divisors is an integer number (153900).

Almost surely, 2^7896840 is an apocalyptic number.

7896840 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 7896840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14774400).

7896840 is an abundant number, since it is smaller than the sum of its proper divisors (21651960).

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

7896840 is a wasteful number, since it uses less digits than its factorization.

7896840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 7896840 is about 2810.1316695130. The cubic root of 7896840 is about 199.1366114982.

The spelling of 7896840 in words is "seven million, eight hundred ninety-six thousand, eight hundred forty".