81779600351 has 8 divisors (see below), whose sum is σ = 84603166320. Its totient is φ = 78956273088.

The previous prime is 81779600333. The next prime is 81779600363. The reversal of 81779600351 is 15300697718.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 81779600351 - 2¹⁴ = 81779583967 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 81779600296 and 81779600305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81779630351) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 898115 + ... + 984971.

It is an arithmetic number, because the mean of its divisors is an integer number (10575395790).

Almost surely, 2^81779600351 is an apocalyptic number.

81779600351 is a deficient number, since it is larger than the sum of its proper divisors (2823565969).

81779600351 is a wasteful number, since it uses less digits than its factorization.

81779600351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119353.

The product of its (nonzero) digits is 317520, while the sum is 47.

The spelling of 81779600351 in words is "eighty-one billion, seven hundred seventy-nine million, six hundred thousand, three hundred fifty-one".