720006408 has 160 divisors (see below), whose sum is σ = 2228355360. Its totient is φ = 215377920.

The previous prime is 720006407. The next prime is 720006433. The reversal of 720006408 is 804600027.

It is a super-2 number, since 2×720006408² = 1036818455122124928, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (720006407) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 591016 + ... + 592232.

It is an arithmetic number, because the mean of its divisors is an integer number (13927221).

Almost surely, 2^720006408 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 720006408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114177680).

720006408 is an abundant number, since it is smaller than the sum of its proper divisors (1508348952).

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

720006408 is a wasteful number, since it uses less digits than its factorization.

720006408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1316 counting only the distinct ones).

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

The square root of 720006408 is about 26832.9351357618. The cubic root of 720006408 is about 896.2836082704.

The spelling of 720006408 in words is "seven hundred twenty million, six thousand, four hundred eight".