83036797777920 has 768 divisors, whose sum is σ = 310516053120000. Its totient is φ = 18935931076608.

The previous prime is 83036797777907. The next prime is 83036797777943. The reversal of 83036797777920 is 2977779763038.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×83036797777920² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4667864386 + ... + 4667882174.

It is an arithmetic number, because the mean of its divisors is an integer number (404317777500).

Almost surely, 2^{83036797777920} is an apocalyptic number.

83036797777920 is a gapful number since it is divisible by the number (80) 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 83036797777920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155258026560000).

83036797777920 is an abundant number, since it is smaller than the sum of its proper divisors (227479255342080).

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

83036797777920 is a wasteful number, since it uses less digits than its factorization.

83036797777920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18283 (or 18249 counting only the distinct ones).

The product of its (nonzero) digits is 1176221088, while the sum is 75.

The spelling of 83036797777920 in words is "eighty-three trillion, thirty-six billion, seven hundred ninety-seven million, seven hundred seventy-seven thousand, nine hundred twenty".