7977042 has 40 divisors (see below), whose sum is σ = 18325692. Its totient is φ = 2592000.

The previous prime is 7977019. The next prime is 7977043. The reversal of 7977042 is 2407797.

It can be written as a sum of positive squares in 2 ways, for example, as 5022081 + 2954961 = 2241^2 + 1719^2 .

It is a junction number, because it is equal to n+sod(n) for n = 7976988 and 7977006.

It is not an unprimeable number, because it can be changed into a prime (7977043) 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, 6042 + ... + 7242.

Almost surely, 2^7977042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7977042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9162846).

7977042 is an abundant number, since it is smaller than the sum of its proper divisors (10348650).

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

7977042 is a wasteful number, since it uses less digits than its factorization.

7977042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 7977042 is about 2824.3657695136. The cubic root of 7977042 is about 199.8085000307.

The spelling of 7977042 in words is "seven million, nine hundred seventy-seven thousand, forty-two".