81076400 has 60 divisors (see below), whose sum is σ = 206261352. Its totient is φ = 30520320.

The previous prime is 81076367. The next prime is 81076409. The reversal of 81076400 is 467018.

It is a self number, because there is not a number n which added to its sum of digits gives 81076400.

It is not an unprimeable number, because it can be changed into a prime (81076409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 839 + ... + 12761.

Almost surely, 2^81076400 is an apocalyptic number.

81076400 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 81076400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103130676).

81076400 is an abundant number, since it is smaller than the sum of its proper divisors (125184952).

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

81076400 is a wasteful number, since it uses less digits than its factorization.

81076400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11958 (or 11947 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 81076400 is about 9004.2434440657. The cubic root of 81076400 is about 432.8108627489.

The spelling of 81076400 in words is "eighty-one million, seventy-six thousand, four hundred".