766354432 has 44 divisors (see below), whose sum is σ = 1535552956. Its totient is φ = 382279680.

The previous prime is 766354427. The next prime is 766354453. The reversal of 766354432 is 234453667.

It can be written as a sum of positive squares in 2 ways, for example, as 635846656 + 130507776 = 25216^2 + 11424^2 .

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 750082 + ... + 751102.

Almost surely, 2^766354432 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 766354432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767776478).

766354432 is an abundant number, since it is smaller than the sum of its proper divisors (769198524).

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

766354432 is a wasteful number, since it uses less digits than its factorization.

766354432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774 (or 1756 counting only the distinct ones).

The product of its digits is 362880, while the sum is 40.

The square root of 766354432 is about 27683.1073400368. The cubic root of 766354432 is about 915.1168620584.

The spelling of 766354432 in words is "seven hundred sixty-six million, three hundred fifty-four thousand, four hundred thirty-two".