44779680 has 216 divisors, whose sum is σ = 168618996. Its totient is φ = 10813440.

The previous prime is 44779633. The next prime is 44779681. The reversal of 44779680 is 8697744.

It can be written as a sum of positive squares in 2 ways, for example, as 41835024 + 2944656 = 6468^2 + 1716^2 .

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

It is not an unprimeable number, because it can be changed into a prime (44779681) 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, 174112 + ... + 174368.

Almost surely, 2^44779680 is an apocalyptic number.

44779680 is a gapful number since it is divisible by the number (40) 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 44779680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84309498).

44779680 is an abundant number, since it is smaller than the sum of its proper divisors (123839316).

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

44779680 is a wasteful number, since it uses less digits than its factorization.

44779680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 44779680 is about 6691.7620997761. The cubic root of 44779680 is about 355.1078955250.

The spelling of 44779680 in words is "forty-four million, seven hundred seventy-nine thousand, six hundred eighty".