83007578779776 has 768 divisors, whose sum is σ = 281064425241600. Its totient is φ = 23021966499840.

The previous prime is 83007578779711. The next prime is 83007578779781. The reversal of 83007578779776 is 67797787570038.

83007578779776 is a `hidden beast` number, since 8 + 30 + 0 + 7 + 578 + 7 + 7 + 9 + 7 + 7 + 6 = 666.

It is a super-2 number, since 2×83007578779776² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 83007578779695 and 83007578779704.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44603749086 + ... + 44603750946.

It is an arithmetic number, because the mean of its divisors is an integer number (365969303700).

Almost surely, 2^{83007578779776} is an apocalyptic number.

83007578779776 is a gapful number since it is divisible by the number (86) 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 83007578779776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140532212620800).

83007578779776 is an abundant number, since it is smaller than the sum of its proper divisors (198056846461824).

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

83007578779776 is a wasteful number, since it uses less digits than its factorization.

83007578779776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2657 (or 2642 counting only the distinct ones).

The product of its (nonzero) digits is 6098924160, while the sum is 81.

The spelling of 83007578779776 in words is "eighty-three trillion, seven billion, five hundred seventy-eight million, seven hundred seventy-nine thousand, seven hundred seventy-six".