52779000 has 128 divisors (see below), whose sum is σ = 167618880. Its totient is φ = 13824000.

The previous prime is 52778989. The next prime is 52779011. The reversal of 52779000 is 97725.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (52778989) and next prime (52779011).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218880 + ... + 219120.

Almost surely, 2^52779000 is an apocalyptic number.

52779000 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 52779000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83809440).

52779000 is an abundant number, since it is smaller than the sum of its proper divisors (114839880).

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

52779000 is a wasteful number, since it uses less digits than its factorization.

52779000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 30.

The square root of 52779000 is about 7264.9156911832. The cubic root of 52779000 is about 375.1057479546.

The spelling of 52779000 in words is "fifty-two million, seven hundred seventy-nine thousand".