7982772 has 72 divisors (see below), whose sum is σ = 22241856. Its totient is φ = 2182656.

The previous prime is 7982761. The next prime is 7982773. The reversal of 7982772 is 2772897.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a d-powerful number, because it can be written as 7⁴ + 9³ + 8 + 2⁵ + 7⁶ + 7⁸ + 2²¹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7982773) 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, 70588 + ... + 70700.

Almost surely, 2^7982772 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 7982772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11120928).

7982772 is an abundant number, since it is smaller than the sum of its proper divisors (14259084).

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

7982772 is a wasteful number, since it uses less digits than its factorization.

7982772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 154 counting only the distinct ones).

The product of its digits is 98784, while the sum is 42.

The square root of 7982772 is about 2825.3799744459. The cubic root of 7982772 is about 199.8563301529.

It can be divided in two parts, 798 and 2772, that added together give a triangular number (3570 = T₈₄).

The spelling of 7982772 in words is "seven million, nine hundred eighty-two thousand, seven hundred seventy-two".