70077 has 16 divisors (see below), whose sum is σ = 110592. Its totient is φ = 38640.

The previous prime is 70067. The next prime is 70079. The reversal of 70077 is 77007.

It is not a de Polignac number, because 70077 - 2⁴ = 70061 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

70077 is a modest number, since divided by 77 gives 7 as remainder.

70077 is a lucky number.

It is a plaindrome in base 12 and base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 70077.

It is not an unprimeable number, because it can be changed into a prime (70079) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 952 + ... + 1022.

It is an arithmetic number, because the mean of its divisors is an integer number (6912).

2⁷⁰⁰⁷⁷ is an apocalyptic number.

It is an amenable number.

70077 is a deficient number, since it is larger than the sum of its proper divisors (40515).

70077 is a wasteful number, since it uses less digits than its factorization.

70077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128.

The product of its (nonzero) digits is 343, while the sum is 21.

The square root of 70077 is about 264.7206074336. The cubic root of 70077 is about 41.2279588401.

It can be divided in two parts, 700 and 77, that added together give a palindrome (777).

The spelling of 70077 in words is "seventy thousand, seventy-seven", and thus it is an iban number.