730777282560 has 2304 divisors, whose sum is σ = 3155259744000. Its totient is φ = 160526499840.

The previous prime is 730777282447. The next prime is 730777282597. The reversal of 730777282560 is 65282777037.

It is a happy number.

730777282560 is a `hidden beast` number, since 7 + 3 + 0 + 7 + 7 + 72 + 8 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 = 730777282497 and 730777282506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17823836140 + ... + 17823836180.

It is an arithmetic number, because the mean of its divisors is an integer number (1369470375).

Almost surely, 2^730777282560 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 730777282560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577629872000).

730777282560 is an abundant number, since it is smaller than the sum of its proper divisors (2424482461440).

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

730777282560 is a wasteful number, since it uses less digits than its factorization.

730777282560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 6914880, while the sum is 54.

The spelling of 730777282560 in words is "seven hundred thirty billion, seven hundred seventy-seven million, two hundred eighty-two thousand, five hundred sixty".