78002001 has 64 divisors (see below), whose sum is σ = 152616960. Its totient is φ = 38119680.

The previous prime is 78001991. The next prime is 78002009. The reversal of 78002001 is 10020087.

It is not a de Polignac number, because 78002001 - 2⁵ = 78001969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (78002009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34240 + ... + 36446.

It is an arithmetic number, because the mean of its divisors is an integer number (2384640).

Almost surely, 2^78002001 is an apocalyptic number.

It is an amenable number.

78002001 is a deficient number, since it is larger than the sum of its proper divisors (74614959).

78002001 is a wasteful number, since it uses less digits than its factorization.

78002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2251 (or 2245 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 78002001 is about 8831.8741499186. The cubic root of 78002001 is about 427.2695218095.

Adding to 78002001 its reverse (10020087), we get a palindrome (88022088).

It can be divided in two parts, 7800 and 2001, that added together give a square (9801 = 99²).

The spelling of 78002001 in words is "seventy-eight million, two thousand, one".