767820960 has 288 divisors, whose sum is σ = 2773854720. Its totient is φ = 193019904.

The previous prime is 767820953. The next prime is 767820967. The reversal of 767820960 is 69028767.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (767820953) and next prime (767820967).

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (767820967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3212521 + ... + 3212759.

It is an arithmetic number, because the mean of its divisors is an integer number (9631440).

Almost surely, 2^767820960 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 767820960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386927360).

767820960 is an abundant number, since it is smaller than the sum of its proper divisors (2006033760).

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

767820960 is a wasteful number, since it uses less digits than its factorization.

767820960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 767820960 is about 27709.5824580595. The cubic root of 767820960 is about 915.7002254432.

The spelling of 767820960 in words is "seven hundred sixty-seven million, eight hundred twenty thousand, nine hundred sixty".