80757109440 has 672 divisors, whose sum is σ = 326464354944. Its totient is φ = 17942446080.

The previous prime is 80757109409. The next prime is 80757109469. The reversal of 80757109440 is 4490175708.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×80757109440² (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 95 ways as a sum of consecutive naturals, for example, 119286382 + ... + 119287058.

It is an arithmetic number, because the mean of its divisors is an integer number (485810052).

Almost surely, 2^80757109440 is an apocalyptic number.

80757109440 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 80757109440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163232177472).

80757109440 is an abundant number, since it is smaller than the sum of its proper divisors (245707245504).

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

80757109440 is a wasteful number, since it uses less digits than its factorization.

80757109440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 80757109440 in words is "eighty billion, seven hundred fifty-seven million, one hundred nine thousand, four hundred forty".