80751686400 has 2430 divisors, whose sum is σ = 402496808868. Its totient is φ = 15792537600.

The previous prime is 80751686387. The next prime is 80751686437. The reversal of 80751686400 is 468615708.

It is a happy number.

80751686400 is a `hidden beast` number, since 80 + 7 + 5 + 168 + 6 + 400 = 666.

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 269 ways as a sum of consecutive naturals, for example, 4750099192 + ... + 4750099208.

Almost surely, 2^80751686400 is an apocalyptic number.

80751686400 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 80751686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201248404434).

80751686400 is an abundant number, since it is smaller than the sum of its proper divisors (321745122468).

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

80751686400 is a wasteful number, since it uses less digits than its factorization.

80751686400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 80751686400 in words is "eighty billion, seven hundred fifty-one million, six hundred eighty-six thousand, four hundred".