766042380 has 192 divisors, whose sum is σ = 2528064000. Its totient is φ = 192036096.

The previous prime is 766042379. The next prime is 766042427. The reversal of 766042380 is 83240667.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2021031 + ... + 2021409.

It is an arithmetic number, because the mean of its divisors is an integer number (13167000).

Almost surely, 2^766042380 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 766042380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264032000).

766042380 is an abundant number, since it is smaller than the sum of its proper divisors (1762021620).

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

766042380 is a wasteful number, since it uses less digits than its factorization.

766042380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 766042380 is about 27677.4706214278. The cubic root of 766042380 is about 914.9926363288.

The spelling of 766042380 in words is "seven hundred sixty-six million, forty-two thousand, three hundred eighty".