77310000 has 150 divisors (see below), whose sum is σ = 270678980. Its totient is φ = 20592000.

The previous prime is 77309989. The next prime is 77310007. The reversal of 77310000 is 1377.

It is a tau number, because it is divible by the number of its divisors (150).

It is a super-2 number, since 2×77310000² = 11953672200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (77310007) 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 29 ways as a sum of consecutive naturals, for example, 89571 + ... + 90429.

Almost surely, 2^77310000 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 77310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135339490).

77310000 is an abundant number, since it is smaller than the sum of its proper divisors (193368980).

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

77310000 is a wasteful number, since it uses less digits than its factorization.

77310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 147, while the sum is 18.

The square root of 77310000 is about 8792.6105338517. The cubic root of 77310000 is about 426.0022482193.

Adding to 77310000 its reverse (1377), we get a palindrome (77311377).

The spelling of 77310000 in words is "seventy-seven million, three hundred ten thousand".