361296780 has 96 divisors (see below), whose sum is σ = 1146835200. Its totient is φ = 84250368.

The previous prime is 361296779. The next prime is 361296787. The reversal of 361296780 is 87692163.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (361296787) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2631 + ... + 27009.

It is an arithmetic number, because the mean of its divisors is an integer number (11946200).

Almost surely, 2^361296780 is an apocalyptic number.

361296780 is a gapful number since it is divisible by the number (30) 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 361296780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573417600).

361296780 is an abundant number, since it is smaller than the sum of its proper divisors (785538420).

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

361296780 is a wasteful number, since it uses less digits than its factorization.

361296780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24423 (or 24421 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 361296780 is about 19007.8083954989. The cubic root of 361296780 is about 712.2318054934.

The spelling of 361296780 in words is "three hundred sixty-one million, two hundred ninety-six thousand, seven hundred eighty".