77835132 has 18 divisors (see below), whose sum is σ = 196750008. Its totient is φ = 25945032.

The previous prime is 77835119. The next prime is 77835133. The reversal of 77835132 is 23153877.

It is a tau number, because it is divible by the number of its divisors (18).

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 Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2162087 = 77835132 / (7 + 7 + 8 + 3 + 5 + 1 + 3 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77835133) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1081008 + ... + 1081079.

It is an arithmetic number, because the mean of its divisors is an integer number (10930556).

Almost surely, 2^77835132 is an apocalyptic number.

It is an amenable number.

77835132 is an abundant number, since it is smaller than the sum of its proper divisors (118914876).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

77835132 is a wasteful number, since it uses less digits than its factorization.

77835132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2162097 (or 2162092 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 77835132 is about 8822.4221164032. The cubic root of 77835132 is about 426.9646196281.

The spelling of 77835132 in words is "seventy-seven million, eight hundred thirty-five thousand, one hundred thirty-two".