766913040 has 240 divisors, whose sum is σ = 2653996800. Its totient is φ = 198402048.

The previous prime is 766912981. The next prime is 766913051. The reversal of 766913040 is 40319667.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×766913040² = 1176311221844083200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 766912986 and 766913004.

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 47 ways as a sum of consecutive naturals, for example, 5517291 + ... + 5517429.

It is an arithmetic number, because the mean of its divisors is an integer number (11058320).

Almost surely, 2^766913040 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 766913040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326998400).

766913040 is an abundant number, since it is smaller than the sum of its proper divisors (1887083760).

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

766913040 is a wasteful number, since it uses less digits than its factorization.

766913040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 766913040 is about 27693.1948319438. The cubic root of 766913040 is about 915.3391558274.

The spelling of 766913040 in words is "seven hundred sixty-six million, nine hundred thirteen thousand, forty".