1961794800 has 180 divisors, whose sum is σ = 7780640400. Its totient is φ = 448404480.

The previous prime is 1961794799. The next prime is 1961794801. The reversal of 1961794800 is 84971691.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1961794799) and next prime (1961794801).

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1961794801) 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, 13725 + ... + 64124.

It is an arithmetic number, because the mean of its divisors is an integer number (43225780).

Almost surely, 2^1961794800 is an apocalyptic number.

1961794800 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 1961794800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3890320200).

1961794800 is an abundant number, since it is smaller than the sum of its proper divisors (5818845600).

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

1961794800 is a wasteful number, since it uses less digits than its factorization.

1961794800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77880 (or 77866 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 1961794800 is about 44292.1528038545. The cubic root of 1961794800 is about 1251.8468273724.

The spelling of 1961794800 in words is "one billion, nine hundred sixty-one million, seven hundred ninety-four thousand, eight hundred".