812261400 has 192 divisors, whose sum is σ = 2713814400. Its totient is φ = 200309760.

The previous prime is 812261383. The next prime is 812261423. The reversal of 812261400 is 4162218.

It is a super-3 number, since 3×812261400³ (a number of 28 digits) contains 333 as substring.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 489372 + ... + 491028.

It is an arithmetic number, because the mean of its divisors is an integer number (14134450).

Almost surely, 2^812261400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 812261400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356907200).

812261400 is an abundant number, since it is smaller than the sum of its proper divisors (1901553000).

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

812261400 is a wasteful number, since it uses less digits than its factorization.

812261400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738 (or 1729 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 812261400 is about 28500.1999992983. The cubic root of 812261400 is about 933.0364390143.

The spelling of 812261400 in words is "eight hundred twelve million, two hundred sixty-one thousand, four hundred".