77345560320 has 576 divisors, whose sum is σ = 288339394560. Its totient is φ = 17306763264.

The previous prime is 77345560309. The next prime is 77345560337. The reversal of 77345560320 is 2306554377.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 474512559 + ... + 474512721.

Almost surely, 2^77345560320 is an apocalyptic number.

77345560320 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 77345560320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144169697280).

77345560320 is an abundant number, since it is smaller than the sum of its proper divisors (210993834240).

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

77345560320 is a wasteful number, since it uses less digits than its factorization.

77345560320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 42.

The spelling of 77345560320 in words is "seventy-seven billion, three hundred forty-five million, five hundred sixty thousand, three hundred twenty".