77740900312482 has 384 divisors, whose sum is σ = 200185713100800. Its totient is φ = 22318053120000.

The previous prime is 77740900312463. The next prime is 77740900312489. The reversal of 77740900312482 is 28421300904777.

77740900312482 is a `hidden beast` number, since 7 + 7 + 7 + 40 + 90 + 0 + 31 + 2 + 482 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (77740900312489) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1820736558 + ... + 1820779254.

It is an arithmetic number, because the mean of its divisors is an integer number (521316961200).

Almost surely, 2^{77740900312482} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77740900312482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100092856550400).

77740900312482 is an abundant number, since it is smaller than the sum of its proper divisors (122444812788318).

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

77740900312482 is a wasteful number, since it uses less digits than its factorization.

77740900312482 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42951 (or 42934 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 77740900312482 in words is "seventy-seven trillion, seven hundred forty billion, nine hundred million, three hundred twelve thousand, four hundred eighty-two".