768420 has 48 divisors (see below), whose sum is σ = 2392320. Its totient is φ = 204768.

The previous prime is 768419. The next prime is 768431. The reversal of 768420 is 24867.

It is a super-4 number, since 4×768420⁴ (a number of 25 digits) contains 4444 as substring.

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

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 15 ways as a sum of consecutive naturals, for example, 172 + ... + 1251.

It is an arithmetic number, because the mean of its divisors is an integer number (49840).

2⁷⁶⁸⁴²⁰ 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 768420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196160).

768420 is an abundant number, since it is smaller than the sum of its proper divisors (1623900).

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

768420 is a wasteful number, since it uses less digits than its factorization.

768420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441 (or 1433 counting only the distinct ones).

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

The square root of 768420 is about 876.5956878744. The cubic root of 768420 is about 91.5938301114.

The spelling of 768420 in words is "seven hundred sixty-eight thousand, four hundred twenty".