80701010400 has 288 divisors, whose sum is σ = 285431731200. Its totient is φ = 19729612800.

The previous prime is 80701010359. The next prime is 80701010441. The reversal of 80701010400 is 401010708.

It is an interprime number because it is at equal distance from previous prime (80701010359) and next prime (80701010441).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1385056 + ... + 1442144.

It is an arithmetic number, because the mean of its divisors is an integer number (991082400).

Almost surely, 2^80701010400 is an apocalyptic number.

80701010400 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 80701010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142715865600).

80701010400 is an abundant number, since it is smaller than the sum of its proper divisors (204730720800).

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

80701010400 is a wasteful number, since it uses less digits than its factorization.

80701010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57162 (or 57149 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The spelling of 80701010400 in words is "eighty billion, seven hundred one million, ten thousand, four hundred".