77670120 has 128 divisors (see below), whose sum is σ = 263088000. Its totient is φ = 18170880.

The previous prime is 77670107. The next prime is 77670121. The reversal of 77670120 is 2107677.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (77670121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37266 + ... + 39294.

It is an arithmetic number, because the mean of its divisors is an integer number (2055375).

Almost surely, 2^77670120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77670120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131544000).

77670120 is an abundant number, since it is smaller than the sum of its proper divisors (185417880).

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

77670120 is a wasteful number, since it uses less digits than its factorization.

77670120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2083 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 4116, while the sum is 30.

The square root of 77670120 is about 8813.0653010176. The cubic root of 77670120 is about 426.6626817119.

Adding to 77670120 its reverse (2107677), we get a palindrome (79777797).

The spelling of 77670120 in words is "seventy-seven million, six hundred seventy thousand, one hundred twenty".