767505940 has 48 divisors (see below), whose sum is σ = 1638599760. Its totient is φ = 301916160.

The previous prime is 767505901. The next prime is 767505943. The reversal of 767505940 is 49505767.

It can be written as a sum of positive squares in 8 ways, for example, as 45616516 + 721889424 = 6754^2 + 26868^2 .

It is a super-3 number, since 3×767505940³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (767505943) 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 15 ways as a sum of consecutive naturals, for example, 760156 + ... + 761164.

It is an arithmetic number, because the mean of its divisors is an integer number (34137495).

Almost surely, 2^767505940 is an apocalyptic number.

It is an amenable number.

767505940 is an abundant number, since it is smaller than the sum of its proper divisors (871093820).

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

767505940 is a wasteful number, since it uses less digits than its factorization.

767505940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 43.

The square root of 767505940 is about 27703.8975597298. The cubic root of 767505940 is about 915.5749777795.

The spelling of 767505940 in words is "seven hundred sixty-seven million, five hundred five thousand, nine hundred forty".