80706002400 has 720 divisors, whose sum is σ = 309494409840. Its totient is φ = 20437401600.

The previous prime is 80706002381. The next prime is 80706002491. The reversal of 80706002400 is 420060708.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 125906080 + ... + 125906720.

It is an arithmetic number, because the mean of its divisors is an integer number (429853347).

Almost surely, 2^80706002400 is an apocalyptic number.

80706002400 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 80706002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154747204920).

80706002400 is an abundant number, since it is smaller than the sum of its proper divisors (228788407440).

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

80706002400 is a wasteful number, since it uses less digits than its factorization.

80706002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 80706002400 in words is "eighty billion, seven hundred six million, two thousand, four hundred".