77740093440 has 728 divisors, whose sum is σ = 288780323328. Its totient is φ = 20065812480.

The previous prime is 77740093391. The next prime is 77740093471. The reversal of 77740093440 is 4439004777.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 612126657 + ... + 612126783.

Almost surely, 2^77740093440 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 77740093440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144390161664).

77740093440 is an abundant number, since it is smaller than the sum of its proper divisors (211040229888).

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

77740093440 is an equidigital number, since it uses as much as digits as its factorization.

77740093440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 77740093440 in words is "seventy-seven billion, seven hundred forty million, ninety-three thousand, four hundred forty".