78145806277825 has 96 divisors (see below), whose sum is σ = 117704368438272. Its totient is φ = 50686884864000.

The previous prime is 78145806277739. The next prime is 78145806277859. The reversal of 78145806277825 is 52877260854187.

It is not a de Polignac number, because 78145806277825 - 2²¹ = 78145804180673 is a prime.

It is a super-3 number, since 3×78145806277825³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67807609 + ... + 68950441.

It is an arithmetic number, because the mean of its divisors is an integer number (1226087171232).

Almost surely, 2^{78145806277825} is an apocalyptic number.

It is an amenable number.

78145806277825 is a deficient number, since it is larger than the sum of its proper divisors (39558562160447).

78145806277825 is a wasteful number, since it uses less digits than its factorization.

78145806277825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143515 (or 1143510 counting only the distinct ones).

The product of its (nonzero) digits is 421478400, while the sum is 70.

The spelling of 78145806277825 in words is "seventy-eight trillion, one hundred forty-five billion, eight hundred six million, two hundred seventy-seven thousand, eight hundred twenty-five".