768048540 has 72 divisors (see below), whose sum is σ = 2501653392. Its totient is φ = 175553280.

The previous prime is 768048527. The next prime is 768048563. The reversal of 768048540 is 45840867.

It is a super-2 number, since 2×768048540² = 1179797119592263200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 768048492 and 768048501.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127681 + ... + 133560.

It is an arithmetic number, because the mean of its divisors is an integer number (34745186).

Almost surely, 2^768048540 is an apocalyptic number.

768048540 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

768048540 is an abundant number, since it is smaller than the sum of its proper divisors (1733604852).

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

768048540 is a wasteful number, since it uses less digits than its factorization.

768048540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261267 (or 261258 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 768048540 is about 27713.6886754542. The cubic root of 768048540 is about 915.7906868408.

The spelling of 768048540 in words is "seven hundred sixty-eight million, forty-eight thousand, five hundred forty".