7402920 has 96 divisors (see below), whose sum is σ = 25855200. Its totient is φ = 1690752.

The previous prime is 7402891. The next prime is 7402921. The reversal of 7402920 is 292047.

7402920 is digitally balanced in base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

7402920 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7402921) 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, 5251 + ... + 6509.

It is an arithmetic number, because the mean of its divisors is an integer number (269325).

Almost surely, 2^7402920 is an apocalyptic number.

7402920 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 7402920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12927600).

7402920 is an abundant number, since it is smaller than the sum of its proper divisors (18452280).

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

7402920 is a wasteful number, since it uses less digits than its factorization.

7402920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 7402920 is about 2720.8307554863. The cubic root of 7402920 is about 194.8951441527.

Adding to 7402920 its reverse (292047), we get a palindrome (7694967).

The spelling of 7402920 in words is "seven million, four hundred two thousand, nine hundred twenty".