7861440 has 112 divisors (see below), whose sum is σ = 26334720. Its totient is φ = 1981440.

The previous prime is 7861417. The next prime is 7861489. The reversal of 7861440 is 441687.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 7861398 and 7861407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18025 + ... + 18455.

Almost surely, 2^7861440 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 7861440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13167360).

7861440 is an abundant number, since it is smaller than the sum of its proper divisors (18473280).

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

7861440 is a wasteful number, since it uses less digits than its factorization.

7861440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 7861440 is about 2803.8259575088. The cubic root of 7861440 is about 198.8386021632.

The spelling of 7861440 in words is "seven million, eight hundred sixty-one thousand, four hundred forty".