7042000 has 80 divisors (see below), whose sum is σ = 19498752. Its totient is φ = 2409600.

The previous prime is 7041977. The next prime is 7042001. The reversal of 7042000 is 2407.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×7042000³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7042001) by changing a digit.

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, 13749 + ... + 14251.

Almost surely, 2^7042000 is an apocalyptic number.

7042000 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 7042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9749376).

7042000 is an abundant number, since it is smaller than the sum of its proper divisors (12456752).

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

7042000 is a wasteful number, since it uses less digits than its factorization.

7042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 13.

The square root of 7042000 is about 2653.6766947011. The cubic root of 7042000 is about 191.6749418817.

Adding to 7042000 its reverse (2407), we get a palindrome (7044407).

It can be divided in two parts, 704 and 2000, that added together give a square (2704 = 52²).

The spelling of 7042000 in words is "seven million, forty-two thousand".