81074400 has 288 divisors, whose sum is σ = 299230848. Its totient is φ = 18892800.

The previous prime is 81074369. The next prime is 81074419. The reversal of 81074400 is 447018.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 976759 + ... + 976841.

It is an arithmetic number, because the mean of its divisors is an integer number (1038996).

Almost surely, 2^81074400 is an apocalyptic number.

81074400 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 81074400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149615424).

81074400 is an abundant number, since it is smaller than the sum of its proper divisors (218156448).

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

81074400 is a wasteful number, since it uses less digits than its factorization.

81074400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 81074400 is about 9004.1323846332. The cubic root of 81074400 is about 432.8073038470.

The spelling of 81074400 in words is "eighty-one million, seventy-four thousand, four hundred".