77582300340480 has 576 divisors, whose sum is σ = 270199313825280. Its totient is φ = 18970398720000.

The previous prime is 77582300340409. The next prime is 77582300340539. The reversal of 77582300340480 is 8404300328577.

77582300340480 is digitally balanced in base 3 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×77582300340480² (a number of 29 digits) contains 22 as substring.

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, 1273878030 + ... + 1273938930.

Almost surely, 2^{77582300340480} 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 77582300340480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135099656912640).

77582300340480 is an abundant number, since it is smaller than the sum of its proper divisors (192617013484800).

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

77582300340480 is a wasteful number, since it uses less digits than its factorization.

77582300340480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61115 (or 61075 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 51.

The spelling of 77582300340480 in words is "seventy-seven trillion, five hundred eighty-two billion, three hundred million, three hundred forty thousand, four hundred eighty".