83077457258880 has 896 divisors, whose sum is σ = 345393759847680. Its totient is φ = 18705663922176.

The previous prime is 83077457258869. The next prime is 83077457258893. The reversal of 83077457258880 is 8885275477038.

83077457258880 is a `hidden beast` number, since 8 + 3 + 0 + 77 + 457 + 25 + 8 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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 = 83077457258799 and 83077457258808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 218626807 + ... + 219006473.

Almost surely, 2^{83077457258880} is an apocalyptic number.

83077457258880 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 83077457258880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172696879923840).

83077457258880 is an abundant number, since it is smaller than the sum of its proper divisors (262316302588800).

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

83077457258880 is an equidigital number, since it uses as much as digits as its factorization.

83077457258880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379778 (or 379751 counting only the distinct ones).

The product of its (nonzero) digits is 842956800, while the sum is 72.

The spelling of 83077457258880 in words is "eighty-three trillion, seventy-seven billion, four hundred fifty-seven million, two hundred fifty-eight thousand, eight hundred eighty".