1976800 has 72 divisors (see below), whose sum is σ = 5530896. Its totient is φ = 675840.

The previous prime is 1976797. The next prime is 1976803. The reversal of 1976800 is 86791.

It is an interprime number because it is at equal distance from previous prime (1976797) and next prime (1976803).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1976803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5424 + ... + 5776.

It is an arithmetic number, because the mean of its divisors is an integer number (76818).

2^1976800 is an apocalyptic number.

1976800 is a gapful number since it is divisible by the number (10) 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 1976800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2765448).

1976800 is an abundant number, since it is smaller than the sum of its proper divisors (3554096).

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

1976800 is a wasteful number, since it uses less digits than its factorization.

1976800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 1976800 is about 1405.9871976658. The cubic root of 1976800 is about 125.5030395607.

The spelling of 1976800 in words is "one million, nine hundred seventy-six thousand, eight hundred".