77379442560 has 1792 divisors, whose sum is σ = 353187648000. Its totient is φ = 15801827328.

The previous prime is 77379442537. The next prime is 77379442573. The reversal of 77379442560 is 6524497377.

77379442560 is a `hidden beast` number, since 7 + 7 + 3 + 79 + 4 + 4 + 2 + 560 = 666.

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 = 77379442497 and 77379442506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1799521899 + ... + 1799521941.

Almost surely, 2^77379442560 is an apocalyptic number.

77379442560 is a gapful number since it is divisible by the number (70) 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 77379442560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176593824000).

77379442560 is an abundant number, since it is smaller than the sum of its proper divisors (275808205440).

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

77379442560 is a wasteful number, since it uses less digits than its factorization.

77379442560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 77379442560 in words is "seventy-seven billion, three hundred seventy-nine million, four hundred forty-two thousand, five hundred sixty".