77939393223120 has 960 divisors, whose sum is σ = 297108702825984. Its totient is φ = 16775700480000.

The previous prime is 77939393223103. The next prime is 77939393223121. The reversal of 77939393223120 is 2132239393977.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77939393223121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1098925260 + ... + 1098996180.

Almost surely, 2^{77939393223120} 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 77939393223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148554351412992).

77939393223120 is an abundant number, since it is smaller than the sum of its proper divisors (219169309602864).

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

77939393223120 is a wasteful number, since it uses less digits than its factorization.

77939393223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71084 (or 71067 counting only the distinct ones).

The product of its (nonzero) digits is 23147208, while the sum is 60.

The spelling of 77939393223120 in words is "seventy-seven trillion, nine hundred thirty-nine billion, three hundred ninety-three million, two hundred twenty-three thousand, one hundred twenty".