980078400 has 504 divisors, whose sum is σ = 4165031040. Its totient is φ = 223534080.

The previous prime is 980078381. The next prime is 980078401. The reversal of 980078400 is 4870089.

980078400 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 (504).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (980078401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2116569 + ... + 2117031.

Almost surely, 2^980078400 is an apocalyptic number.

980078400 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 980078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2082515520).

980078400 is an abundant number, since it is smaller than the sum of its proper divisors (3184952640).

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

980078400 is a wasteful number, since it uses less digits than its factorization.

980078400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 980078400 is about 31306.2038580215. The cubic root of 980078400 is about 993.3148753633.

The spelling of 980078400 in words is "nine hundred eighty million, seventy-eight thousand, four hundred".