77378240268 has 144 divisors (see below), whose sum is σ = 235437995520. Its totient is φ = 20949046272.

The previous prime is 77378240263. The next prime is 77378240299. The reversal of 77378240268 is 86204287377.

77378240268 is a `hidden beast` number, since 7 + 7 + 378 + 2 + 4 + 0 + 268 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (77378240263) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 557788 + ... + 682556.

It is an arithmetic number, because the mean of its divisors is an integer number (1634986080).

Almost surely, 2^77378240268 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 77378240268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117718997760).

77378240268 is an abundant number, since it is smaller than the sum of its proper divisors (158059755252).

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

77378240268 is a wasteful number, since it uses less digits than its factorization.

77378240268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124916 (or 124911 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 77378240268 in words is "seventy-seven billion, three hundred seventy-eight million, two hundred forty thousand, two hundred sixty-eight".