30007680 has 64 divisors (see below), whose sum is σ = 95655600. Its totient is φ = 8001536.

The previous prime is 30007673. The next prime is 30007693. The reversal of 30007680 is 8670003.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 30007680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5895 + ... + 9734.

Almost surely, 2^30007680 is an apocalyptic number.

30007680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30007680 is an abundant number, since it is smaller than the sum of its proper divisors (65647920).

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

30007680 is a wasteful number, since it uses less digits than its factorization.

30007680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15651 (or 15639 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 30007680 is about 5477.9266150616. The cubic root of 30007680 is about 310.7497633838.

Adding to 30007680 its reverse (8670003), we get a palindrome (38677683).

It can be divided in two parts, 3000 and 7680, that multiplied together give a square (23040000 = 4800²).

The spelling of 30007680 in words is "thirty million, seven thousand, six hundred eighty".