77230400 has 168 divisors, whose sum is σ = 211653120. Its totient is φ = 27555840.

The previous prime is 77230369. The next prime is 77230409. The reversal of 77230400 is 403277.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77230409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 977561 + ... + 977639.

It is an arithmetic number, because the mean of its divisors is an integer number (1259840).

Almost surely, 2^77230400 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 77230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105826560).

77230400 is an abundant number, since it is smaller than the sum of its proper divisors (134422720).

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

77230400 is a wasteful number, since it uses less digits than its factorization.

77230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 23.

The square root of 77230400 is about 8788.0828398462. The cubic root of 77230400 is about 425.8559910568.

Adding to 77230400 its reverse (403277), we get a palindrome (77633677).

The spelling of 77230400 in words is "seventy-seven million, two hundred thirty thousand, four hundred".