80762400000 has 432 divisors, whose sum is σ = 298596513600. Its totient is φ = 21530880000.

The previous prime is 80762399999. The next prime is 80762400001. The reversal of 80762400000 is 426708.

It is an interprime number because it is at equal distance from previous prime (80762399999) and next prime (80762400001).

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80762400001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21598131 + ... + 21601869.

Almost surely, 2^80762400000 is an apocalyptic number.

80762400000 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 80762400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149298256800).

80762400000 is an abundant number, since it is smaller than the sum of its proper divisors (217834113600).

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

80762400000 is an frugal number, since it uses more digits than its factorization.

80762400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3789 (or 3749 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 80762400000 its reverse (426708), we get a palindrome (80762826708).

The spelling of 80762400000 in words is "eighty billion, seven hundred sixty-two million, four hundred thousand".