958798080 has 144 divisors (see below), whose sum is σ = 3402524160. Its totient is φ = 255670272.

The previous prime is 958798069. The next prime is 958798081. The reversal of 958798080 is 80897859.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (958798081) 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, 20689 + ... + 48431.

It is an arithmetic number, because the mean of its divisors is an integer number (23628640).

Almost surely, 2^958798080 is an apocalyptic number.

958798080 is a gapful number since it is divisible by the number (90) 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 958798080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701262080).

958798080 is an abundant number, since it is smaller than the sum of its proper divisors (2443726080).

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

958798080 is a wasteful number, since it uses less digits than its factorization.

958798080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27773 (or 27753 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The square root of 958798080 is about 30964.4647943413. The cubic root of 958798080 is about 986.0729647971.

The spelling of 958798080 in words is "nine hundred fifty-eight million, seven hundred ninety-eight thousand, eighty".