7809204480 has 648 divisors, whose sum is σ = 31982844096. Its totient is φ = 1622691840.

The previous prime is 7809204479. The next prime is 7809204517. The reversal of 7809204480 is 844029087.

It is a super-2 number, since 2×7809204480² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 709927675 + ... + 709927685.

Almost surely, 2^7809204480 is an apocalyptic number.

7809204480 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 7809204480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15991422048).

7809204480 is an abundant number, since it is smaller than the sum of its proper divisors (24173639616).

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

7809204480 is an frugal number, since it uses more digits than its factorization.

7809204480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 7809204480 is about 88369.7034056356. The cubic root of 7809204480 is about 1983.9722724186.

The spelling of 7809204480 in words is "seven billion, eight hundred nine million, two hundred four thousand, four hundred eighty".