52377600 has 288 divisors, whose sum is σ = 194987520. Its totient is φ = 12288000.

The previous prime is 52377581. The next prime is 52377613. The reversal of 52377600 is 677325.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

It is a congruent number.

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, 1689585 + ... + 1689615.

It is an arithmetic number, because the mean of its divisors is an integer number (677040).

Almost surely, 2^52377600 is an apocalyptic number.

52377600 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 52377600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97493760).

52377600 is an abundant number, since it is smaller than the sum of its proper divisors (142609920).

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

52377600 is a wasteful number, since it uses less digits than its factorization.

52377600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 30.

The square root of 52377600 is about 7237.2370418551. The cubic root of 52377600 is about 374.1523967378.

The spelling of 52377600 in words is "fifty-two million, three hundred seventy-seven thousand, six hundred".