78980832 has 144 divisors (see below), whose sum is σ = 266378112. Its totient is φ = 22550400.

The previous prime is 78980831. The next prime is 78980843. The reversal of 78980832 is 23808987.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78980831) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53707 + ... + 55157.

It is an arithmetic number, because the mean of its divisors is an integer number (1849848).

Almost surely, 2^78980832 is an apocalyptic number.

78980832 is a gapful number since it is divisible by the number (72) 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 78980832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133189056).

78980832 is an abundant number, since it is smaller than the sum of its proper divisors (187397280).

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

78980832 is a wasteful number, since it uses less digits than its factorization.

78980832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1483 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 78980832 is about 8887.1160676566. The cubic root of 78980832 is about 429.0493365920.

The spelling of 78980832 in words is "seventy-eight million, nine hundred eighty thousand, eight hundred thirty-two".