7897680000 has 480 divisors, whose sum is σ = 32476604160. Its totient is φ = 1804032000.

The previous prime is 7897679983. The next prime is 7897680017. The reversal of 7897680000 is 867987.

It is an interprime number because it is at equal distance from previous prime (7897679983) and next prime (7897680017).

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 an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5039217 + ... + 5040783.

It is an arithmetic number, because the mean of its divisors is an integer number (67659592).

Almost surely, 2^7897680000 is an apocalyptic number.

7897680000 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 7897680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16238302080).

7897680000 is an abundant number, since it is smaller than the sum of its proper divisors (24578924160).

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

7897680000 is a wasteful number, since it uses less digits than its factorization.

7897680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1614 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 7897680000 is about 88868.8921951883. The cubic root of 7897680000 is about 1991.4367207865.

The spelling of 7897680000 in words is "seven billion, eight hundred ninety-seven million, six hundred eighty thousand".