77367294376416 has 144 divisors (see below), whose sum is σ = 240017982645168. Its totient is φ = 23444289331200.

The previous prime is 77367294376381. The next prime is 77367294376417. The reversal of 77367294376416 is 61467349276377.

It is a happy number.

77367294376416 is a `hidden beast` number, since 7 + 7 + 36 + 72 + 9 + 43 + 76 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77367294376417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287586480 + ... + 287855376.

It is an arithmetic number, because the mean of its divisors is an integer number (1666791546147).

Almost surely, 2^{77367294376416} is an apocalyptic number.

It is an amenable number.

77367294376416 is an abundant number, since it is smaller than the sum of its proper divisors (162650688268752).

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

77367294376416 is a wasteful number, since it uses less digits than its factorization.

77367294376416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359745 (or 359734 counting only the distinct ones).

The product of its digits is 1344252672, while the sum is 72.

The spelling of 77367294376416 in words is "seventy-seven trillion, three hundred sixty-seven billion, two hundred ninety-four million, three hundred seventy-six thousand, four hundred sixteen".