961778500 has 48 divisors (see below), whose sum is σ = 2124223920. Its totient is φ = 380371200.

The previous prime is 961778483. The next prime is 961778509. The reversal of 961778500 is 5877169.

It can be written as a sum of positive squares in 8 ways, for example, as 140612164 + 821166336 = 11858^2 + 28656^2 .

It is not an unprimeable number, because it can be changed into a prime (961778509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33694 + ... + 55306.

It is an arithmetic number, because the mean of its divisors is an integer number (44254665).

Almost surely, 2^961778500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 961778500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062111960).

961778500 is an abundant number, since it is smaller than the sum of its proper divisors (1162445420).

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

961778500 is a wasteful number, since it uses less digits than its factorization.

961778500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21721 (or 21709 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 43.

The square root of 961778500 is about 31012.5539096670. The cubic root of 961778500 is about 987.0936425591.

The spelling of 961778500 in words is "nine hundred sixty-one million, seven hundred seventy-eight thousand, five hundred".