767240640 has 112 divisors (see below), whose sum is σ = 2706684960. Its totient is φ = 204595200.

The previous prime is 767240603. The next prime is 767240659. The reversal of 767240640 is 46042767.

767240640 is a `hidden beast` number, since 7 + 6 + 7 + 2 + 4 + 0 + 640 = 666.

767240640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 767240595 and 767240604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35761 + ... + 53040.

It is an arithmetic number, because the mean of its divisors is an integer number (24166830).

Almost surely, 2^767240640 is an apocalyptic number.

It is an amenable number.

767240640 is an abundant number, since it is smaller than the sum of its proper divisors (1939444320).

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

767240640 is a wasteful number, since it uses less digits than its factorization.

767240640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88827 (or 88811 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 767240640 is about 27699.1090109411. The cubic root of 767240640 is about 915.4694715235.

The spelling of 767240640 in words is "seven hundred sixty-seven million, two hundred forty thousand, six hundred forty".