80978253120 has 196 divisors, whose sum is σ = 289112774580. Its totient is φ = 21594138624.

The previous prime is 80978253119. The next prime is 80978253121. The reversal of 80978253120 is 2135287908.

It is a happy number.

80978253120 is a `hidden beast` number, since 8 + 0 + 97 + 8 + 2 + 531 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (80978253119) and next prime (80978253121).

It can be written as a sum of positive squares in 2 ways, for example, as 27161676864 + 53816576256 = 164808^2 + 231984^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80978253121) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 59716 + ... + 406844.

Almost surely, 2^80978253120 is an apocalyptic number.

80978253120 is a gapful number since it is divisible by the number (80) 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 80978253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144556387290).

80978253120 is an abundant number, since it is smaller than the sum of its proper divisors (208134521460).

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

80978253120 is an equidigital number, since it uses as much as digits as its factorization.

80978253120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347164 (or 347139 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 80978253120 in words is "eighty billion, nine hundred seventy-eight million, two hundred fifty-three thousand, one hundred twenty".