768981240 has 192 divisors, whose sum is σ = 2611103040. Its totient is φ = 196085760.

The previous prime is 768981233. The next prime is 768981253. The reversal of 768981240 is 42189867.

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 47 ways as a sum of consecutive naturals, for example, 781789 + ... + 782771.

It is an arithmetic number, because the mean of its divisors is an integer number (13599495).

Almost surely, 2^768981240 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 768981240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305551520).

768981240 is an abundant number, since it is smaller than the sum of its proper divisors (1842121800).

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

768981240 is a wasteful number, since it uses less digits than its factorization.

768981240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 768981240 is about 27730.5109942100. The cubic root of 768981240 is about 916.1612417410.

The spelling of 768981240 in words is "seven hundred sixty-eight million, nine hundred eighty-one thousand, two hundred forty".