7812312480 has 576 divisors, whose sum is σ = 32848478208. Its totient is φ = 1651415040.

The previous prime is 7812312461. The next prime is 7812312499. The reversal of 7812312480 is 842132187.

It is an interprime number because it is at equal distance from previous prime (7812312461) and next prime (7812312499).

It is a super-2 number, since 2×7812312480² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7186497 + ... + 7187583.

It is an arithmetic number, because the mean of its divisors is an integer number (57028608).

Almost surely, 2^7812312480 is an apocalyptic number.

7812312480 is a gapful number since it is divisible by the number (70) 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 7812312480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16424239104).

7812312480 is an abundant number, since it is smaller than the sum of its proper divisors (25036165728).

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

7812312480 is a wasteful number, since it uses less digits than its factorization.

7812312480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1158 counting only the distinct ones).

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

The square root of 7812312480 is about 88387.2868686442. The cubic root of 7812312480 is about 1984.2354391295.

The spelling of 7812312480 in words is "seven billion, eight hundred twelve million, three hundred twelve thousand, four hundred eighty".