7953420 has 48 divisors (see below), whose sum is σ = 22595328. Its totient is φ = 2089920.

The previous prime is 7953389. The next prime is 7953427. The reversal of 7953420 is 243597.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (7953427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3327 + ... + 5193.

It is an arithmetic number, because the mean of its divisors is an integer number (470736).

Almost surely, 2^7953420 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 7953420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11297664).

7953420 is an abundant number, since it is smaller than the sum of its proper divisors (14641908).

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

7953420 is a wasteful number, since it uses less digits than its factorization.

7953420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 7953420 is about 2820.1808452651. The cubic root of 7953420 is about 199.6110775201.

The spelling of 7953420 in words is "seven million, nine hundred fifty-three thousand, four hundred twenty".