77326479360 has 832 divisors, whose sum is σ = 306482319360. Its totient is φ = 18367119360.

The previous prime is 77326479341. The next prime is 77326479403. The reversal of 77326479360 is 6397462377.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (832).

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

It is a junction number, because it is equal to n+sod(n) for n = 77326479297 and 77326479306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 222842707 + ... + 222843053.

Almost surely, 2^77326479360 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 77326479360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153241159680).

77326479360 is an abundant number, since it is smaller than the sum of its proper divisors (229155840000).

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

77326479360 is a wasteful number, since it uses less digits than its factorization.

77326479360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 8001504, while the sum is 54.

The spelling of 77326479360 in words is "seventy-seven billion, three hundred twenty-six million, four hundred seventy-nine thousand, three hundred sixty".