77553312 has 48 divisors (see below), whose sum is σ = 205212672. Its totient is φ = 25643520.

The previous prime is 77553299. The next prime is 77553319. The reversal of 77553312 is 21335577.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (77553319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9012 + ... + 15372.

It is an arithmetic number, because the mean of its divisors is an integer number (4275264).

Almost surely, 2^77553312 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 77553312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102606336).

77553312 is an abundant number, since it is smaller than the sum of its proper divisors (127659360).

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

77553312 is a wasteful number, since it uses less digits than its factorization.

77553312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6501 (or 6493 counting only the distinct ones).

The product of its digits is 22050, while the sum is 33.

The square root of 77553312 is about 8806.4358284155. The cubic root of 77553312 is about 426.4486885702.

Adding to 77553312 its reverse (21335577), we get a palindrome (98888889).

The spelling of 77553312 in words is "seventy-seven million, five hundred fifty-three thousand, three hundred twelve".