766126080 has 384 divisors, whose sum is σ = 2901225600. Its totient is φ = 191102976.

The previous prime is 766126069. The next prime is 766126087. The reversal of 766126080 is 80621667.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (766126087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4700079 + ... + 4700241.

It is an arithmetic number, because the mean of its divisors is an integer number (7555275).

Almost surely, 2^766126080 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 766126080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450612800).

766126080 is an abundant number, since it is smaller than the sum of its proper divisors (2135099520).

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

766126080 is a wasteful number, since it uses less digits than its factorization.

766126080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 766126080 is about 27678.9826402634. The cubic root of 766126080 is about 915.0259600267.

The spelling of 766126080 in words is "seven hundred sixty-six million, one hundred twenty-six thousand, eighty".