720947010 has 64 divisors (see below), whose sum is σ = 1984372992. Its totient is φ = 164211456.

The previous prime is 720947009. The next prime is 720947011. The reversal of 720947010 is 10749027.

720947010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (720947009) and next prime (720947011).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (720947011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55672 + ... + 67388.

It is an arithmetic number, because the mean of its divisors is an integer number (31005828).

Almost surely, 2^720947010 is an apocalyptic number.

720947010 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 720947010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992186496).

720947010 is an abundant number, since it is smaller than the sum of its proper divisors (1263425982).

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

720947010 is a wasteful number, since it uses less digits than its factorization.

720947010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12027.

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 720947010 is about 26850.4564207017. The cubic root of 720947010 is about 896.6737341074.

The spelling of 720947010 in words is "seven hundred twenty million, nine hundred forty-seven thousand, ten".