768615840 has 216 divisors, whose sum is σ = 2744616420. Its totient is φ = 195858432.

The previous prime is 768615839. The next prime is 768615847. The reversal of 768615840 is 48516867.

It is a happy number.

768615840 is a `hidden beast` number, since 7 + 6 + 8 + 61 + 584 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 746600976 + 22014864 = 27324^2 + 4692^2 .

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 (768615847) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 761256 + ... + 762264.

Almost surely, 2^768615840 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 768615840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372308210).

768615840 is an abundant number, since it is smaller than the sum of its proper divisors (1976000580).

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

768615840 is a wasteful number, since it uses less digits than its factorization.

768615840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 768615840 is about 27723.9218004957. The cubic root of 768615840 is about 916.0161067069.

The spelling of 768615840 in words is "seven hundred sixty-eight million, six hundred fifteen thousand, eight hundred forty".