7680420 has 120 divisors (see below), whose sum is σ = 26345088. Its totient is φ = 1857600.

The previous prime is 7680419. The next prime is 7680437. The reversal of 7680420 is 240867.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 17605 + ... + 18035.

Almost surely, 2^7680420 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 7680420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13172544).

7680420 is an abundant number, since it is smaller than the sum of its proper divisors (18664668).

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

7680420 is a wasteful number, since it uses less digits than its factorization.

7680420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 7680420 is about 2771.3570682970. The cubic root of 7680420 is about 197.3005624402.

It can be divided in two parts, 7680 and 420, that added together give a square (8100 = 90²).

The spelling of 7680420 in words is "seven million, six hundred eighty thousand, four hundred twenty".