83779303736880 has 160 divisors (see below), whose sum is σ = 288577809213120. Its totient is φ = 22340787517440.

The previous prime is 83779303736819. The next prime is 83779303736923. The reversal of 83779303736880 is 8863730397738.

83779303736880 is a `hidden beast` number, since 8 + 3 + 77 + 93 + 0 + 37 + 368 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 83779303736799 and 83779303736808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150561570 + ... + 151116990.

It is an arithmetic number, because the mean of its divisors is an integer number (1803611307582).

Almost surely, 2^{83779303736880} is an apocalyptic number.

83779303736880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83779303736880 is an abundant number, since it is smaller than the sum of its proper divisors (204798505476240).

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

83779303736880 is a wasteful number, since it uses less digits than its factorization.

83779303736880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625276 (or 625264 counting only the distinct ones).

The product of its (nonzero) digits is 768144384, while the sum is 72.

The spelling of 83779303736880 in words is "eighty-three trillion, seven hundred seventy-nine billion, three hundred three million, seven hundred thirty-six thousand, eight hundred eighty".