768633840 has 320 divisors, whose sum is σ = 2946478080. Its totient is φ = 182891520.

The previous prime is 768633829. The next prime is 768633919. The reversal of 768633840 is 48336867.

768633840 is a `hidden beast` number, since 7 + 6 + 8 + 633 + 8 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 870039 + ... + 870921.

It is an arithmetic number, because the mean of its divisors is an integer number (9207744).

Almost surely, 2^768633840 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 768633840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473239040).

768633840 is an abundant number, since it is smaller than the sum of its proper divisors (2177844240).

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

768633840 is a wasteful number, since it uses less digits than its factorization.

768633840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 768633840 is about 27724.2464279915. The cubic root of 768633840 is about 916.0232572930.

The spelling of 768633840 in words is "seven hundred sixty-eight million, six hundred thirty-three thousand, eight hundred forty".