80811680400 has 480 divisors, whose sum is σ = 323914506240. Its totient is φ = 18957888000.

The previous prime is 80811680399. The next prime is 80811680413. The reversal of 80811680400 is 408611808.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3671829 + ... + 3693771.

It is an arithmetic number, because the mean of its divisors is an integer number (674821888).

Almost surely, 2^80811680400 is an apocalyptic number.

80811680400 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 80811680400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161957253120).

80811680400 is an abundant number, since it is smaller than the sum of its proper divisors (243102825840).

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

80811680400 is a wasteful number, since it uses less digits than its factorization.

80811680400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22012 (or 21995 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 80811680400 in words is "eighty billion, eight hundred eleven million, six hundred eighty thousand, four hundred".