766342400 has 108 divisors (see below), whose sum is σ = 1962699900. Its totient is φ = 295895040.

The previous prime is 766342397. The next prime is 766342469. The reversal of 766342400 is 4243667.

It can be written as a sum of positive squares in 6 ways, for example, as 8111104 + 758231296 = 2848^2 + 27536^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 183536 + ... + 187664.

Almost surely, 2^766342400 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 766342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981349950).

766342400 is an abundant number, since it is smaller than the sum of its proper divisors (1196357500).

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

766342400 is a wasteful number, since it uses less digits than its factorization.

766342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4184 (or 4165 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 32.

The square root of 766342400 is about 27682.8900225392. The cubic root of 766342400 is about 915.1120728281.

The spelling of 766342400 in words is "seven hundred sixty-six million, three hundred forty-two thousand, four hundred".