767267640 has 192 divisors, whose sum is σ = 2605730400. Its totient is φ = 203046912.

The previous prime is 767267617. The next prime is 767267651. The reversal of 767267640 is 46762767.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1875756 + ... + 1876164.

Almost surely, 2^767267640 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 767267640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302865200).

767267640 is an abundant number, since it is smaller than the sum of its proper divisors (1838462760).

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

767267640 is a wasteful number, since it uses less digits than its factorization.

767267640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The square root of 767267640 is about 27699.5963869512. The cubic root of 767267640 is about 915.4802101734.

The spelling of 767267640 in words is "seven hundred sixty-seven million, two hundred sixty-seven thousand, six hundred forty".