7896240 has 120 divisors (see below), whose sum is σ = 28957968. Its totient is φ = 1912320.

The previous prime is 7896233. The next prime is 7896241. The reversal of 7896240 is 426987.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×7896240² = 124701212275200, 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 = 7896195 and 7896204.

It is not an unprimeable number, because it can be changed into a prime (7896241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7422 + ... + 8418.

Almost surely, 2^7896240 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 7896240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14478984).

7896240 is an abundant number, since it is smaller than the sum of its proper divisors (21061728).

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

7896240 is a wasteful number, since it uses less digits than its factorization.

7896240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1018 counting only the distinct ones).

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

The square root of 7896240 is about 2810.0249109216. The cubic root of 7896240 is about 199.1315679199.

The spelling of 7896240 in words is "seven million, eight hundred ninety-six thousand, two hundred forty".