77360400 has 480 divisors, whose sum is σ = 322896000. Its totient is φ = 17418240.

The previous prime is 77360369. The next prime is 77360401. The reversal of 77360400 is 406377.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (77360401) 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 95 ways as a sum of consecutive naturals, for example, 2667586 + ... + 2667614.

It is an arithmetic number, because the mean of its divisors is an integer number (672700).

Almost surely, 2^77360400 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 77360400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161448000).

77360400 is an abundant number, since it is smaller than the sum of its proper divisors (245535600).

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

77360400 is a wasteful number, since it uses less digits than its factorization.

77360400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 77360400 is about 8795.4761099101. The cubic root of 77360400 is about 426.0948013574.

Adding to 77360400 its reverse (406377), we get a palindrome (77766777).

The spelling of 77360400 in words is "seventy-seven million, three hundred sixty thousand, four hundred".