52778000 has 80 divisors (see below), whose sum is σ = 139276800. Its totient is φ = 19184000.

The previous prime is 52777969. The next prime is 52778003. The reversal of 52778000 is 87725.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52778003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20801 + ... + 23199.

It is an arithmetic number, because the mean of its divisors is an integer number (1740960).

Almost surely, 2^52778000 is an apocalyptic number.

52778000 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 52778000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69638400).

52778000 is an abundant number, since it is smaller than the sum of its proper divisors (86498800).

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

52778000 is a wasteful number, since it uses less digits than its factorization.

52778000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 29.

The square root of 52778000 is about 7264.8468669339. The cubic root of 52778000 is about 375.1033789056.

The spelling of 52778000 in words is "fifty-two million, seven hundred seventy-eight thousand".