77383434240 has 1280 divisors, whose sum is σ = 342564552000. Its totient is φ = 16647192576.

The previous prime is 77383434173. The next prime is 77383434259. The reversal of 77383434240 is 4243438377.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 5712 × 5040 × 2688.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4551966712 + ... + 4551966728.

Almost surely, 2^77383434240 is an apocalyptic number.

77383434240 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 77383434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171282276000).

77383434240 is an abundant number, since it is smaller than the sum of its proper divisors (265181117760).

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

77383434240 is an frugal number, since it uses more digits than its factorization.

77383434240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 45.

The spelling of 77383434240 in words is "seventy-seven billion, three hundred eighty-three million, four hundred thirty-four thousand, two hundred forty".