77472000 has 216 divisors, whose sum is σ = 279803160. Its totient is φ = 20582400.

The previous prime is 77471983. The next prime is 77472037. The reversal of 77472000 is 27477.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 16257024 + 61214976 = 4032^2 + 7824^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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, 287866 + ... + 288134.

It is an arithmetic number, because the mean of its divisors is an integer number (1295385).

Almost surely, 2^77472000 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 77472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139901580).

77472000 is an abundant number, since it is smaller than the sum of its proper divisors (202331160).

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

77472000 is a wasteful number, since it uses less digits than its factorization.

77472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 27.

The square root of 77472000 is about 8801.8179940283. The cubic root of 77472000 is about 426.2995974886.

Adding to 77472000 its reverse (27477), we get a palindrome (77499477).

The spelling of 77472000 in words is "seventy-seven million, four hundred seventy-two thousand".