766132416 has 168 divisors, whose sum is σ = 2529596160. Its totient is φ = 217161216.

The previous prime is 766132363. The next prime is 766132439. The reversal of 766132416 is 614231667.

It is a happy number.

766132416 is a `hidden beast` number, since 7 + 6 + 613 + 24 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 559765 + ... + 561131.

It is an arithmetic number, because the mean of its divisors is an integer number (15057120).

Almost surely, 2^766132416 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 766132416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264798080).

766132416 is an abundant number, since it is smaller than the sum of its proper divisors (1763463744).

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

766132416 is a wasteful number, since it uses less digits than its factorization.

766132416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531 (or 1518 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 766132416 is about 27679.0970951005. The cubic root of 766132416 is about 915.0284824960.

The spelling of 766132416 in words is "seven hundred sixty-six million, one hundred thirty-two thousand, four hundred sixteen".