7862140 has 48 divisors (see below), whose sum is σ = 19404000. Its totient is φ = 2638080.

The previous prime is 7862137. The next prime is 7862147. The reversal of 7862140 is 412687.

It is a junction number, because it is equal to n+sod(n) for n = 7862099 and 7862108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7862147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1486 + ... + 4234.

It is an arithmetic number, because the mean of its divisors is an integer number (404250).

Almost surely, 2^7862140 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 7862140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9702000).

7862140 is an abundant number, since it is smaller than the sum of its proper divisors (11541860).

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

7862140 is a wasteful number, since it uses less digits than its factorization.

7862140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2782 (or 2780 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 7862140 is about 2803.9507841615. The cubic root of 7862140 is about 198.8445036643.

It can be divided in two parts, 786 and 2140, that added together give a triangular number (2926 = T₇₆).

The spelling of 7862140 in words is "seven million, eight hundred sixty-two thousand, one hundred forty".