7812879840 has 384 divisors, whose sum is σ = 28277061120. Its totient is φ = 2013548544.

The previous prime is 7812879803. The next prime is 7812879859. The reversal of 7812879840 is 489782187.

It is a happy number.

It is a super-2 number, since 2×7812879840² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25448967 + ... + 25449273.

It is an arithmetic number, because the mean of its divisors is an integer number (73638180).

Almost surely, 2^7812879840 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 7812879840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14138530560).

7812879840 is an abundant number, since it is smaller than the sum of its proper divisors (20464181280).

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

7812879840 is a wasteful number, since it uses less digits than its factorization.

7812879840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The square root of 7812879840 is about 88390.4963217200. The cubic root of 7812879840 is about 1984.2834722213.

The spelling of 7812879840 in words is "seven billion, eight hundred twelve million, eight hundred seventy-nine thousand, eight hundred forty".