812760480 has 720 divisors, whose sum is σ = 3594640896. Its totient is φ = 169205760.

The previous prime is 812760457. The next prime is 812760491. The reversal of 812760480 is 84067218.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 26218065 + ... + 26218095.

Almost surely, 2^812760480 is an apocalyptic number.

812760480 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 812760480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797320448).

812760480 is an abundant number, since it is smaller than the sum of its proper divisors (2781880416).

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

812760480 is a wasteful number, since it uses less digits than its factorization.

812760480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 812760480 is about 28508.9543827900. The cubic root of 812760480 is about 933.2274959353.

The spelling of 812760480 in words is "eight hundred twelve million, seven hundred sixty thousand, four hundred eighty".