77300134562430 has 192 divisors, whose sum is σ = 219444871464000. Its totient is φ = 18763688060928.

The previous prime is 77300134562423. The next prime is 77300134562477. The reversal of 77300134562430 is 3426543100377.

77300134562430 is a `hidden beast` number, since 7 + 7 + 3 + 0 + 0 + 13 + 4 + 5 + 624 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 490943377 + ... + 491100803.

It is an arithmetic number, because the mean of its divisors is an integer number (1142942038875).

Almost surely, 2^{77300134562430} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77300134562430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109722435732000).

77300134562430 is an abundant number, since it is smaller than the sum of its proper divisors (142144736901570).

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

77300134562430 is a wasteful number, since it uses less digits than its factorization.

77300134562430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163275 (or 163272 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 45.

The spelling of 77300134562430 in words is "seventy-seven trillion, three hundred billion, one hundred thirty-four million, five hundred sixty-two thousand, four hundred thirty".