768579840 has 432 divisors, whose sum is σ = 3160579968. Its totient is φ = 175177728.

The previous prime is 768579839. The next prime is 768579853. The reversal of 768579840 is 48975867.

768579840 is a `hidden beast` number, since 7 + 68 + 579 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Smith number, since the sum of its digits (54) 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2177104 + ... + 2177456.

Almost surely, 2^768579840 is an apocalyptic number.

768579840 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768579840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580289984).

768579840 is an abundant number, since it is smaller than the sum of its proper divisors (2392000128).

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

768579840 is an equidigital number, since it uses as much as digits as its factorization.

768579840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 768579840 is about 27723.2725341003. The cubic root of 768579840 is about 916.0018051998.

The spelling of 768579840 in words is "seven hundred sixty-eight million, five hundred seventy-nine thousand, eight hundred forty".