5977800 has 168 divisors, whose sum is σ = 21346290. Its totient is φ = 1555200.

The previous prime is 5977753. The next prime is 5977801. The reversal of 5977800 is 87795.

5977800 = T₆₇₉ + T₆₈₀ + ... + T₇₀₃.

5977800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 2802276 + 3175524 = 1674^2 + 1782^2 .

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

It is not an unprimeable number, because it can be changed into a prime (5977801) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 145780 + ... + 145820.

Almost surely, 2^5977800 is an apocalyptic number.

5977800 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 5977800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10673145).

5977800 is an abundant number, since it is smaller than the sum of its proper divisors (15368490).

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

5977800 is a wasteful number, since it uses less digits than its factorization.

5977800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 5977800 is about 2444.9539872971. The cubic root of 5977800 is about 181.4876707696.

The spelling of 5977800 in words is "five million, nine hundred seventy-seven thousand, eight hundred".