7807423680 has 448 divisors, whose sum is σ = 31707002880. Its totient is φ = 1771573248.

The previous prime is 7807423639. The next prime is 7807423697. The reversal of 7807423680 is 863247087.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10099774 + ... + 10100546.

It is an arithmetic number, because the mean of its divisors is an integer number (70774560).

Almost surely, 2^7807423680 is an apocalyptic number.

7807423680 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 7807423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15853501440).

7807423680 is an abundant number, since it is smaller than the sum of its proper divisors (23899579200).

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

7807423680 is a wasteful number, since it uses less digits than its factorization.

7807423680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 7807423680 is about 88359.6269797468. The cubic root of 7807423680 is about 1983.8214535388.

The spelling of 7807423680 in words is "seven billion, eight hundred seven million, four hundred twenty-three thousand, six hundred eighty".