5977400 has 144 divisors (see below), whose sum is σ = 17316600. Its totient is φ = 1900800.

The previous prime is 5977397. The next prime is 5977409. The reversal of 5977400 is 47795.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5977409) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 314591 + ... + 314609.

Almost surely, 2^5977400 is an apocalyptic number.

5977400 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 5977400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8658300).

5977400 is an abundant number, since it is smaller than the sum of its proper divisors (11339200).

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

5977400 is a wasteful number, since it uses less digits than its factorization.

5977400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 32.

The square root of 5977400 is about 2444.8721847982. The cubic root of 5977400 is about 181.4836226422.

It can be divided in two parts, 597 and 7400, that added together give a palindrome (7997).

The spelling of 5977400 in words is "five million, nine hundred seventy-seven thousand, four hundred".