720977000 has 64 divisors (see below), whose sum is σ = 1696032000. Its totient is φ = 286862400.

The previous prime is 720976961. The next prime is 720977009. The reversal of 720977000 is 779027.

It is not an unprimeable number, because it can be changed into a prime (720977009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197189 + ... + 200811.

It is an arithmetic number, because the mean of its divisors is an integer number (26500500).

Almost surely, 2^720977000 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 720977000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848016000).

720977000 is an abundant number, since it is smaller than the sum of its proper divisors (975055000).

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

720977000 is a wasteful number, since it uses less digits than its factorization.

720977000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3843 (or 3829 counting only the distinct ones).

The product of its (nonzero) digits is 6174, while the sum is 32.

The square root of 720977000 is about 26851.0148783989. The cubic root of 720977000 is about 896.6861672322.

It can be divided in two parts, 72097 and 7000, that added together give a palindrome (79097).

The spelling of 720977000 in words is "seven hundred twenty million, nine hundred seventy-seven thousand".