761720000 has 140 divisors (see below), whose sum is σ = 1916292840. Its totient is φ = 300288000.

The previous prime is 761719997. The next prime is 761720077. The reversal of 761720000 is 27167.

It is a happy number.

761720000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5479931 + ... + 5480069.

It is an arithmetic number, because the mean of its divisors is an integer number (13687806).

Almost surely, 2^761720000 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 761720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958146420).

761720000 is an abundant number, since it is smaller than the sum of its proper divisors (1154572840).

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

761720000 is a wasteful number, since it uses less digits than its factorization.

761720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 23.

The square root of 761720000 is about 27599.2753528059. The cubic root of 761720000 is about 913.2684463229.

Adding to 761720000 its reverse (27167), we get a palindrome (761747167).

The spelling of 761720000 in words is "seven hundred sixty-one million, seven hundred twenty thousand".