766888320 has 192 divisors, whose sum is σ = 2687695920. Its totient is φ = 185856000.

The previous prime is 766888301. The next prime is 766888327. The reversal of 766888320 is 23888667.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 766888320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766888327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 230670 + ... + 233970.

Almost surely, 2^766888320 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 766888320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343847960).

766888320 is an abundant number, since it is smaller than the sum of its proper divisors (1920807600).

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

766888320 is a wasteful number, since it uses less digits than its factorization.

766888320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3345 (or 3322 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 766888320 is about 27692.7485093120. The cubic root of 766888320 is about 915.3293209761.

The spelling of 766888320 in words is "seven hundred sixty-six million, eight hundred eighty-eight thousand, three hundred twenty".