77140097280 has 756 divisors, whose sum is σ = 293660222940. Its totient is φ = 19402924032.

The previous prime is 77140097269. The next prime is 77140097291. The reversal of 77140097280 is 8279004177.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (77140097269) and next prime (77140097291).

It can be written as a sum of positive squares in 2 ways, for example, as 52819070976 + 24321026304 = 229824^2 + 155952^2 .

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 336856206 + ... + 336856434.

Almost surely, 2^77140097280 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 77140097280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146830111470).

77140097280 is an abundant number, since it is smaller than the sum of its proper divisors (216520125660).

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

77140097280 is an equidigital number, since it uses as much as digits as its factorization.

77140097280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 77140097280 in words is "seventy-seven billion, one hundred forty million, ninety-seven thousand, two hundred eighty".