7874680320 has 480 divisors, whose sum is σ = 29920834944. Its totient is φ = 1902182400.

The previous prime is 7874680291. The next prime is 7874680337. The reversal of 7874680320 is 230864787.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18270505 + ... + 18270935.

Almost surely, 2^7874680320 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 7874680320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14960417472).

7874680320 is an abundant number, since it is smaller than the sum of its proper divisors (22046154624).

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

7874680320 is a wasteful number, since it uses less digits than its factorization.

7874680320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 515 counting only the distinct ones).

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

The square root of 7874680320 is about 88739.3955354667. The cubic root of 7874680320 is about 1989.5016824197.

The spelling of 7874680320 in words is "seven billion, eight hundred seventy-four million, six hundred eighty thousand, three hundred twenty".