7867440 has 180 divisors, whose sum is σ = 30873024. Its totient is φ = 1790208.

The previous prime is 7867411. The next prime is 7867441. The reversal of 7867440 is 447687.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×7867440² = 123793224307200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 7867395 and 7867404.

It is not an unprimeable number, because it can be changed into a prime (7867441) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35169 + ... + 35391.

Almost surely, 2^7867440 is an apocalyptic number.

7867440 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 7867440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15436512).

7867440 is an abundant number, since it is smaller than the sum of its proper divisors (23005584).

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

7867440 is a wasteful number, since it uses less digits than its factorization.

7867440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 7867440 is about 2804.8957199868. The cubic root of 7867440 is about 198.8891750958.

The spelling of 7867440 in words is "seven million, eight hundred sixty-seven thousand, four hundred forty".