766743900 has 216 divisors, whose sum is σ = 2468435760. Its totient is φ = 182645760.

The previous prime is 766743899. The next prime is 766743907. The reversal of 766743900 is 9347667.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766743907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8615056 + ... + 8615144.

Almost surely, 2^766743900 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 766743900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234217880).

766743900 is an abundant number, since it is smaller than the sum of its proper divisors (1701691860).

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

766743900 is a wasteful number, since it uses less digits than its factorization.

766743900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 42.

The square root of 766743900 is about 27690.1408447122. The cubic root of 766743900 is about 915.2718592588.

The spelling of 766743900 in words is "seven hundred sixty-six million, seven hundred forty-three thousand, nine hundred".