536077800 has 144 divisors (see below), whose sum is σ = 1807116480. Its totient is φ = 142416000.

The previous prime is 536077777. The next prime is 536077831. The reversal of 536077800 is 8770635.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 775455 + ... + 776145.

It is an arithmetic number, because the mean of its divisors is an integer number (12549420).

Almost surely, 2^536077800 is an apocalyptic number.

536077800 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 536077800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903558240).

536077800 is an abundant number, since it is smaller than the sum of its proper divisors (1271038680).

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

536077800 is a wasteful number, since it uses less digits than its factorization.

536077800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 536077800 is about 23153.3539687018. The cubic root of 536077800 is about 812.3489202328.

The spelling of 536077800 in words is "five hundred thirty-six million, seventy-seven thousand, eight hundred".