812474880 has 480 divisors, whose sum is σ = 3224365056. Its totient is φ = 173408256.

The previous prime is 812474879. The next prime is 812474891. The reversal of 812474880 is 88474218.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 6397377 + ... + 6397503.

Almost surely, 2^812474880 is an apocalyptic number.

812474880 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 812474880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612182528).

812474880 is an abundant number, since it is smaller than the sum of its proper divisors (2411890176).

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

812474880 is a wasteful number, since it uses less digits than its factorization.

812474880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 42.

The square root of 812474880 is about 28503.9449901237. The cubic root of 812474880 is about 933.1181726252.

The spelling of 812474880 in words is "eight hundred twelve million, four hundred seventy-four thousand, eight hundred eighty".