77790968344530 has 384 divisors, whose sum is σ = 244477365350400. Its totient is φ = 16784033587200.

The previous prime is 77790968344519. The next prime is 77790968344589. The reversal of 77790968344530 is 3544386909777.

77790968344530 is a `hidden beast` number, since 7 + 7 + 7 + 9 + 0 + 9 + 6 + 83 + 4 + 4 + 530 = 666.

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, 6268908966 + ... + 6268921374.

It is an arithmetic number, because the mean of its divisors is an integer number (636659805600).

Almost surely, 2^{77790968344530} is an apocalyptic number.

77790968344530 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 77790968344530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122238682675200).

77790968344530 is an abundant number, since it is smaller than the sum of its proper divisors (166686397005870).

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

77790968344530 is a wasteful number, since it uses less digits than its factorization.

77790968344530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20330 (or 20327 counting only the distinct ones).

The product of its (nonzero) digits is 960180480, while the sum is 72.

The spelling of 77790968344530 in words is "seventy-seven trillion, seven hundred ninety billion, nine hundred sixty-eight million, three hundred forty-four thousand, five hundred thirty".