880400736 has 72 divisors (see below), whose sum is σ = 2519715744. Its totient is φ = 291582720.

The previous prime is 880400687. The next prime is 880400747. The reversal of 880400736 is 637004088.

880400736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 880400736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35481 + ... + 54951.

It is an arithmetic number, because the mean of its divisors is an integer number (34996052).

Almost surely, 2^880400736 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 880400736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259857872).

880400736 is an abundant number, since it is smaller than the sum of its proper divisors (1639315008).

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

880400736 is a wasteful number, since it uses less digits than its factorization.

880400736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19644 (or 19633 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 880400736 is about 29671.5475835016. The cubic root of 880400736 is about 958.4294110370.

The spelling of 880400736 in words is "eight hundred eighty million, four hundred thousand, seven hundred thirty-six".