78114777732 has 120 divisors (see below), whose sum is σ = 213901623936. Its totient is φ = 24810838272.

The previous prime is 78114777731. The next prime is 78114777757. The reversal of 78114777732 is 23777741187.

78114777732 is a `hidden beast` number, since 78 + 1 + 1 + 477 + 77 + 32 = 666.

It is a super-3 number, since 3×78114777732³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (78114777731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1939948 + ... + 1979804.

Almost surely, 2^78114777732 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 78114777732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106950811968).

78114777732 is an abundant number, since it is smaller than the sum of its proper divisors (135786846204).

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

78114777732 is a wasteful number, since it uses less digits than its factorization.

78114777732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40159 (or 40148 counting only the distinct ones).

The product of its digits is 3226944, while the sum is 54.

The spelling of 78114777732 in words is "seventy-eight billion, one hundred fourteen million, seven hundred seventy-seven thousand, seven hundred thirty-two".