720408 has 32 divisors (see below), whose sum is σ = 1940400. Its totient is φ = 221568.

The previous prime is 720407. The next prime is 720413. The reversal of 720408 is 804027.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (720403) 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 7 ways as a sum of consecutive naturals, for example, 843 + ... + 1466.

2⁷²⁰⁴⁰⁸ is an apocalyptic number.

720408 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

720408 is an abundant number, since it is smaller than the sum of its proper divisors (1219992).

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

720408 is a wasteful number, since it uses less digits than its factorization.

720408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2331 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 720408 is about 848.7685196801. The cubic root of 720408 is about 89.6450214856.

It can be divided in two parts, 720 and 408, that added together give a triangular number (1128 = T₄₇).

The spelling of 720408 in words is "seven hundred twenty thousand, four hundred eight".