80742481920 has 384 divisors, whose sum is σ = 296459893080. Its totient is φ = 20258488320.

The previous prime is 80742481879. The next prime is 80742481951. The reversal of 80742481920 is 2918424708.

80742481920 is a `hidden beast` number, since 80 + 7 + 4 + 2 + 481 + 92 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 78364164096 + 2378317824 = 279936^2 + 48768^2 .

It is a tau number, because it is divible by the number of its divisors (384).

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 23 ways as a sum of consecutive naturals, for example, 25065910 + ... + 25069130.

Almost surely, 2^80742481920 is an apocalyptic number.

80742481920 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 80742481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148229946540).

80742481920 is an abundant number, since it is smaller than the sum of its proper divisors (215717411160).

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

80742481920 is a wasteful number, since it uses less digits than its factorization.

80742481920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3279 (or 3248 counting only the distinct ones).

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

The spelling of 80742481920 in words is "eighty billion, seven hundred forty-two million, four hundred eighty-one thousand, nine hundred twenty".