1240377768 has 216 divisors, whose sum is σ = 4014537930. Its totient is φ = 344937600.

The previous prime is 1240377757. The next prime is 1240377769. The reversal of 1240377768 is 8677730421.

It can be written as a sum of positive squares in only one way, i.e., 742998564 + 497379204 = 27258^2 + 22302^2 .

It is not an unprimeable number, because it can be changed into a prime (1240377769) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 12280918 + ... + 12281018.

Almost surely, 2^1240377768 is an apocalyptic number.

1240377768 is a gapful number since it is divisible by the number (18) 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 1240377768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007268965).

1240377768 is an abundant number, since it is smaller than the sum of its proper divisors (2774160162).

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

1240377768 is a wasteful number, since it uses less digits than its factorization.

1240377768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 1240377768 is about 35218.9972600016. The cubic root of 1240377768 is about 1074.4461594189.

The spelling of 1240377768 in words is "one billion, two hundred forty million, three hundred seventy-seven thousand, seven hundred sixty-eight".