7801324416 has 96 divisors (see below), whose sum is σ = 22466709720. Its totient is φ = 2598405120.

The previous prime is 7801324409. The next prime is 7801324417. The reversal of 7801324416 is 6144231087.

7801324416 is a `hidden beast` number, since 7 + 80 + 132 + 441 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7801324417) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2464851 + ... + 2468013.

Almost surely, 2^7801324416 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 7801324416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11233354860).

7801324416 is an abundant number, since it is smaller than the sum of its proper divisors (14665385304).

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

7801324416 is a wasteful number, since it uses less digits than its factorization.

7801324416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5324 (or 5309 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 7801324416 is about 88325.1063741222. The cubic root of 7801324416 is about 1983.3047229888.

The spelling of 7801324416 in words is "seven billion, eight hundred one million, three hundred twenty-four thousand, four hundred sixteen".