77136800 has 72 divisors (see below), whose sum is σ = 202822956. Its totient is φ = 28477440.

The previous prime is 77136791. The next prime is 77136811. The reversal of 77136800 is 863177.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 25928464 + 51208336 = 5092^2 + 7156^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6692 + ... + 14108.

Almost surely, 2^77136800 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 77136800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101411478).

77136800 is an abundant number, since it is smaller than the sum of its proper divisors (125686156).

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

77136800 is a wasteful number, since it uses less digits than its factorization.

77136800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7450 (or 7437 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 77136800 is about 8782.7558317421. The cubic root of 77136800 is about 425.6838816520.

Adding to 77136800 its reverse (863177), we get a palindrome (77999977).

The spelling of 77136800 in words is "seventy-seven million, one hundred thirty-six thousand, eight hundred".