766376640 has 140 divisors (see below), whose sum is σ = 2726228736. Its totient is φ = 204360192.

The previous prime is 766376623. The next prime is 766376641. The reversal of 766376640 is 46673667.

766376640 is a `hidden beast` number, since 7 + 6 + 637 + 6 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (766376641) 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 19 ways as a sum of consecutive naturals, for example, 11137 + ... + 40703.

Almost surely, 2^766376640 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 766376640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363114368).

766376640 is an abundant number, since it is smaller than the sum of its proper divisors (1959852096).

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

766376640 is a wasteful number, since it uses less digits than its factorization.

766376640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29596 (or 29577 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The square root of 766376640 is about 27683.5084481718. The cubic root of 766376640 is about 915.1257016232.

The spelling of 766376640 in words is "seven hundred sixty-six million, three hundred seventy-six thousand, six hundred forty".