7813428480 has 1440 divisors, whose sum is σ = 35899573248. Its totient is φ = 1592524800.

The previous prime is 7813428461. The next prime is 7813428481. The reversal of 7813428480 is 848243187.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×7813428480² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7813428481) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 252046065 + ... + 252046095.

Almost surely, 2^7813428480 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 7813428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17949786624).

7813428480 is an abundant number, since it is smaller than the sum of its proper divisors (28086144768).

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

7813428480 is a wasteful number, since it uses less digits than its factorization.

7813428480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 7813428480 is about 88393.5997683090. The cubic root of 7813428480 is about 1984.3299182533.

The spelling of 7813428480 in words is "seven billion, eight hundred thirteen million, four hundred twenty-eight thousand, four hundred eighty".