77339329920 has 768 divisors, whose sum is σ = 287985559680. Its totient is φ = 19092602880.

The previous prime is 77339329897. The next prime is 77339329939. The reversal of 77339329920 is 2992393377.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 463109677 + ... + 463109843.

Almost surely, 2^77339329920 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 77339329920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143992779840).

77339329920 is an abundant number, since it is smaller than the sum of its proper divisors (210646229760).

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

77339329920 is a wasteful number, since it uses less digits than its factorization.

77339329920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 3857868, while the sum is 54.

The spelling of 77339329920 in words is "seventy-seven billion, three hundred thirty-nine million, three hundred twenty-nine thousand, nine hundred twenty".