77351319360 has 280 divisors, whose sum is σ = 314460453120. Its totient is φ = 17680260096.

The previous prime is 77351319293. The next prime is 77351319371. The reversal of 77351319360 is 6391315377.

77351319360 is a `hidden beast` number, since 7 + 73 + 513 + 1 + 9 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (280).

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 39 ways as a sum of consecutive naturals, for example, 31720 + ... + 394599.

Almost surely, 2^77351319360 is an apocalyptic number.

77351319360 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 77351319360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157230226560).

77351319360 is an abundant number, since it is smaller than the sum of its proper divisors (237109133760).

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

77351319360 is a wasteful number, since it uses less digits than its factorization.

77351319360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426355 (or 426336 counting only the distinct ones).

The product of its (nonzero) digits is 357210, while the sum is 45.

The spelling of 77351319360 in words is "seventy-seven billion, three hundred fifty-one million, three hundred nineteen thousand, three hundred sixty".