80276123520 has 1024 divisors, whose sum is σ = 313453670400. Its totient is φ = 19357138944.

The previous prime is 80276123479. The next prime is 80276123533. The reversal of 80276123520 is 2532167208.

80276123520 is a `hidden beast` number, since 8 + 0 + 2 + 7 + 6 + 123 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 779379789 + ... + 779379891.

It is an arithmetic number, because the mean of its divisors is an integer number (306107100).

Almost surely, 2^80276123520 is an apocalyptic number.

80276123520 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 80276123520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156726835200).

80276123520 is an abundant number, since it is smaller than the sum of its proper divisors (233177546880).

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

80276123520 is a wasteful number, since it uses less digits than its factorization.

80276123520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

It can be divided in two parts, 802761 and 23520, that added together give a square (826281 = 909²).

The spelling of 80276123520 in words is "eighty billion, two hundred seventy-six million, one hundred twenty-three thousand, five hundred twenty".