52277600 has 72 divisors (see below), whose sum is σ = 129085488. Its totient is φ = 20672000.

The previous prime is 52277593. The next prime is 52277623. The reversal of 52277600 is 677225.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80477 + ... + 81123.

It is an arithmetic number, because the mean of its divisors is an integer number (1792854).

Almost surely, 2^52277600 is an apocalyptic number.

52277600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52277600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64542744).

52277600 is an abundant number, since it is smaller than the sum of its proper divisors (76807888).

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

52277600 is a wasteful number, since it uses less digits than its factorization.

52277600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 29.

The square root of 52277600 is about 7230.3250272723. The cubic root of 52277600 is about 373.9141328222.

The spelling of 52277600 in words is "fifty-two million, two hundred seventy-seven thousand, six hundred".