720177120 has 576 divisors, whose sum is σ = 2932360704. Its totient is φ = 159252480.

The previous prime is 720177113. The next prime is 720177131. The reversal of 720177120 is 21771027.

720177120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9865404 + ... + 9865476.

It is an arithmetic number, because the mean of its divisors is an integer number (5090904).

Almost surely, 2^720177120 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 720177120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466180352).

720177120 is an abundant number, since it is smaller than the sum of its proper divisors (2212183584).

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

720177120 is a wasteful number, since it uses less digits than its factorization.

720177120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 27.

The square root of 720177120 is about 26836.1159633804. The cubic root of 720177120 is about 896.3544383235.

The spelling of 720177120 in words is "seven hundred twenty million, one hundred seventy-seven thousand, one hundred twenty".