44778880 has 128 divisors (see below), whose sum is σ = 115349760. Its totient is φ = 16588800.

The previous prime is 44778809. The next prime is 44778887. The reversal of 44778880 is 8887744.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 44778880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44778887) 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, 734050 + ... + 734110.

It is an arithmetic number, because the mean of its divisors is an integer number (901170).

Almost surely, 2^44778880 is an apocalyptic number.

44778880 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 44778880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57674880).

44778880 is an abundant number, since it is smaller than the sum of its proper divisors (70570880).

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

44778880 is a wasteful number, since it uses less digits than its factorization.

44778880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 46.

The square root of 44778880 is about 6691.7023245210. The cubic root of 44778880 is about 355.1057808157.

The spelling of 44778880 in words is "forty-four million, seven hundred seventy-eight thousand, eight hundred eighty".