77104367340 has 1152 divisors, whose sum is σ = 318966294528. Its totient is φ = 13456834560.

The previous prime is 77104367293. The next prime is 77104367341. The reversal of 77104367340 is 4376340177.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 77104367292 and 77104367301.

It is not an unprimeable number, because it can be changed into a prime (77104367341) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 491110542 + ... + 491110698.

It is an arithmetic number, because the mean of its divisors is an integer number (276880464).

Almost surely, 2^77104367340 is an apocalyptic number.

77104367340 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77104367340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159483147264).

77104367340 is an abundant number, since it is smaller than the sum of its proper divisors (241861927188).

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

77104367340 is a wasteful number, since it uses less digits than its factorization.

77104367340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 42.

It can be divided in two parts, 77104 and 367340, that added together give a palindrome (444444).

The spelling of 77104367340 in words is "seventy-seven billion, one hundred four million, three hundred sixty-seven thousand, three hundred forty".