766720800 has 216 divisors, whose sum is σ = 2738355984. Its totient is φ = 201838080.

The previous prime is 766720783. The next prime is 766720837. The reversal of 766720800 is 8027667.

766720800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 596959 + ... + 598241.

It is an arithmetic number, because the mean of its divisors is an integer number (12677574).

Almost surely, 2^766720800 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 766720800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369177992).

766720800 is an abundant number, since it is smaller than the sum of its proper divisors (1971635184).

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

766720800 is a wasteful number, since it uses less digits than its factorization.

766720800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 766720800 is about 27689.7237255990. The cubic root of 766720800 is about 915.2626675795.

The spelling of 766720800 in words is "seven hundred sixty-six million, seven hundred twenty thousand, eight hundred".