7767040960 has 84 divisors (see below), whose sum is σ = 21514945032. Its totient is φ = 2662980096.

The previous prime is 7767040927. The next prime is 7767040961. The reversal of 7767040960 is 690407677.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 7767040960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7767040961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 231994 + ... + 263353.

It is an arithmetic number, because the mean of its divisors is an integer number (256130298).

Almost surely, 2^7767040960 is an apocalyptic number.

7767040960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7767040960 is an abundant number, since it is smaller than the sum of its proper divisors (13747904072).

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

7767040960 is a wasteful number, since it uses less digits than its factorization.

7767040960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495378 (or 495361 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 46.

The square root of 7767040960 is about 88130.8173115398. The cubic root of 7767040960 is about 1980.3952005075.

The spelling of 7767040960 in words is "seven billion, seven hundred sixty-seven million, forty thousand, nine hundred sixty".