78461901 has 48 divisors (see below), whose sum is σ = 136371456. Its totient is φ = 42501888.

The previous prime is 78461897. The next prime is 78461939. The reversal of 78461901 is 10916487.

It is not a de Polignac number, because 78461901 - 2² = 78461897 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78465901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 250521 + ... + 250833.

It is an arithmetic number, because the mean of its divisors is an integer number (2841072).

Almost surely, 2^78461901 is an apocalyptic number.

It is an amenable number.

78461901 is a deficient number, since it is larger than the sum of its proper divisors (57909555).

78461901 is a wasteful number, since it uses less digits than its factorization.

78461901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 78461901 is about 8857.8722614407. The cubic root of 78461901 is about 428.1076042517.

The spelling of 78461901 in words is "seventy-eight million, four hundred sixty-one thousand, nine hundred one".