78351 has 24 divisors (see below), whose sum is σ = 134064. Its totient is φ = 40320.

The previous prime is 78347. The next prime is 78367. The reversal of 78351 is 15387.

It is not a de Polignac number, because 78351 - 2² = 78347 is a prime.

It is a super-2 number, since 2×78351² = 12277758402, which contains 22 as substring.

78351 is a modest number, since divided by 351 gives 78 as remainder.

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1891 + ... + 1931.

It is an arithmetic number, because the mean of its divisors is an integer number (5586).

2⁷⁸³⁵¹ is an apocalyptic number.

78351 is a deficient number, since it is larger than the sum of its proper divisors (55713).

78351 is a wasteful number, since it uses less digits than its factorization.

78351 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 64 counting only the distinct ones).

The product of its digits is 840, while the sum is 24.

The square root of 78351 is about 279.9124863239. The cubic root of 78351 is about 42.7905808020.

The spelling of 78351 in words is "seventy-eight thousand, three hundred fifty-one".