7981416 has 80 divisors (see below), whose sum is σ = 22760100. Its totient is φ = 2612736.

The previous prime is 7981411. The next prime is 7981417. The reversal of 7981416 is 6141897.

It can be written as a sum of positive squares in 2 ways, for example, as 7584516 + 396900 = 2754^2 + 630^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7981411) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 70576 + ... + 70688.

Almost surely, 2^7981416 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 7981416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11380050).

7981416 is an abundant number, since it is smaller than the sum of its proper divisors (14778684).

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

7981416 is a wasteful number, since it uses less digits than its factorization.

7981416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 227 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 7981416 is about 2825.1399965311. The cubic root of 7981416 is about 199.8450132599.

The spelling of 7981416 in words is "seven million, nine hundred eighty-one thousand, four hundred sixteen".