80067778560 has 768 divisors, whose sum is σ = 354940185600. Its totient is φ = 16633036800.

The previous prime is 80067778547. The next prime is 80067778613. The reversal of 80067778560 is 6587776008.

80067778560 is a `hidden beast` number, since 8 + 0 + 0 + 6 + 7 + 7 + 78 + 560 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 80067778497 and 80067778506.

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, 21287080 + ... + 21290840.

It is an arithmetic number, because the mean of its divisors is an integer number (462161700).

Almost surely, 2^80067778560 is an apocalyptic number.

80067778560 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 80067778560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177470092800).

80067778560 is an abundant number, since it is smaller than the sum of its proper divisors (274872407040).

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

80067778560 is a wasteful number, since it uses less digits than its factorization.

80067778560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3815 (or 3789 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 80067778560 in words is "eighty billion, sixty-seven million, seven hundred seventy-eight thousand, five hundred sixty".