7735420 has 48 divisors (see below), whose sum is σ = 20256768. Its totient is φ = 2410560.

The previous prime is 7735393. The next prime is 7735421. The reversal of 7735420 is 245377.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7735421) 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, 972 + ... + 4051.

It is an arithmetic number, because the mean of its divisors is an integer number (422016).

Almost surely, 2^7735420 is an apocalyptic number.

7735420 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7735420 is an abundant number, since it is smaller than the sum of its proper divisors (12521348).

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

7735420 is a wasteful number, since it uses less digits than its factorization.

7735420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5050 (or 5048 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 28.

The square root of 7735420 is about 2781.2623033436. The cubic root of 7735420 is about 197.7704035274.

The spelling of 7735420 in words is "seven million, seven hundred thirty-five thousand, four hundred twenty".