77375803392 has 182 divisors, whose sum is σ = 232001900382. Its totient is φ = 25790939136.

The previous prime is 77375803391. The next prime is 77375803409. The reversal of 77375803392 is 29330857377.

It can be written as a sum of positive squares in only one way, i.e., 68988174336 + 8387629056 = 262656^2 + 91584^2 .

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 (77375803391) 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 13 ways as a sum of consecutive naturals, for example, 2973028 + ... + 2998940.

Almost surely, 2^77375803392 is an apocalyptic number.

77375803392 is a gapful number since it is divisible by the number (72) 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 77375803392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116000950191).

77375803392 is an abundant number, since it is smaller than the sum of its proper divisors (154626096990).

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

77375803392 is an frugal number, since it uses more digits than its factorization.

77375803392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25955 (or 25918 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The spelling of 77375803392 in words is "seventy-seven billion, three hundred seventy-five million, eight hundred three thousand, three hundred ninety-two".