77472400 has 60 divisors (see below), whose sum is σ = 197093412. Its totient is φ = 29163520.

The previous prime is 77472359. The next prime is 77472407. The reversal of 77472400 is 427477.

It can be written as a sum of positive squares in 6 ways, for example, as 1364224 + 76108176 = 1168^2 + 8724^2 .

It is not an unprimeable number, because it can be changed into a prime (77472407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1104 + ... + 12496.

Almost surely, 2^77472400 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 77472400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98546706).

77472400 is an abundant number, since it is smaller than the sum of its proper divisors (119621012).

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

77472400 is a wasteful number, since it uses less digits than its factorization.

77472400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11428 (or 11417 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 31.

The square root of 77472400 is about 8801.8407165774. The cubic root of 77472400 is about 426.3003311711.

Adding to 77472400 its reverse (427477), we get a palindrome (77899877).

The spelling of 77472400 in words is "seventy-seven million, four hundred seventy-two thousand, four hundred".