77331400 has 96 divisors (see below), whose sum is σ = 189720000. Its totient is φ = 29272320.

The previous prime is 77331389. The next prime is 77331421. The reversal of 77331400 is 413377.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 388501 + ... + 388699.

It is an arithmetic number, because the mean of its divisors is an integer number (1976250).

Almost surely, 2^77331400 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 77331400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94860000).

77331400 is an abundant number, since it is smaller than the sum of its proper divisors (112388600).

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

77331400 is a wasteful number, since it uses less digits than its factorization.

77331400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 25.

The square root of 77331400 is about 8793.8273806119. The cubic root of 77331400 is about 426.0415514879.

Adding to 77331400 its reverse (413377), we get a palindrome (77744777).

The spelling of 77331400 in words is "seventy-seven million, three hundred thirty-one thousand, four hundred".