80357706240 has 640 divisors, whose sum is σ = 311688622080. Its totient is φ = 17252352000.

The previous prime is 80357706229. The next prime is 80357706251. The reversal of 80357706240 is 4260775308.

It is an interprime number because it is at equal distance from previous prime (80357706229) and next prime (80357706251).

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 80357706192 and 80357706201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 154237180 + ... + 154237700.

It is an arithmetic number, because the mean of its divisors is an integer number (487013472).

Almost surely, 2^80357706240 is an apocalyptic number.

80357706240 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 80357706240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155844311040).

80357706240 is an abundant number, since it is smaller than the sum of its proper divisors (231330915840).

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

80357706240 is a wasteful number, since it uses less digits than its factorization.

80357706240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 80357706240 in words is "eighty billion, three hundred fifty-seven million, seven hundred six thousand, two hundred forty".