80738380800 has 2112 divisors, whose sum is σ = 388905108480. Its totient is φ = 15925248000.

The previous prime is 80738380787. The next prime is 80738380817. The reversal of 80738380800 is 808383708.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a super-2 number, since 2×80738380800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1969228780 + ... + 1969228820.

Almost surely, 2^80738380800 is an apocalyptic number.

80738380800 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 80738380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194452554240).

80738380800 is an abundant number, since it is smaller than the sum of its proper divisors (308166727680).

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

80738380800 is a wasteful number, since it uses less digits than its factorization.

80738380800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 80738380800 in words is "eighty billion, seven hundred thirty-eight million, three hundred eighty thousand, eight hundred".