77343517440 has 576 divisors, whose sum is σ = 317623864320. Its totient is φ = 17674039296.

The previous prime is 77343517439. The next prime is 77343517457. The reversal of 77343517440 is 4471534377.

It is a happy number.

77343517440 is a `hidden beast` number, since 7 + 7 + 3 + 435 + 174 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19593547 + ... + 19597493.

It is an arithmetic number, because the mean of its divisors is an integer number (551430320).

Almost surely, 2^77343517440 is an apocalyptic number.

77343517440 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 77343517440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158811932160).

77343517440 is an abundant number, since it is smaller than the sum of its proper divisors (240280346880).

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

77343517440 is an frugal number, since it uses more digits than its factorization.

77343517440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3996 (or 3964 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 45.

The spelling of 77343517440 in words is "seventy-seven billion, three hundred forty-three million, five hundred seventeen thousand, four hundred forty".