78400977300 has 360 divisors, whose sum is σ = 262250714880. Its totient is φ = 20249568000.

The previous prime is 78400977299. The next prime is 78400977301. The reversal of 78400977300 is 377900487.

It is an interprime number because it is at equal distance from previous prime (78400977299) and next prime (78400977301).

It is a super-2 number, since 2×78400977300² (a number of 23 digits) contains 22 as substring.

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 (78400977301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 38449681 + ... + 38451719.

It is an arithmetic number, because the mean of its divisors is an integer number (728474208).

Almost surely, 2^78400977300 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 78400977300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131125357440).

78400977300 is an abundant number, since it is smaller than the sum of its proper divisors (183849737580).

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

78400977300 is a wasteful number, since it uses less digits than its factorization.

78400977300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2213 (or 2197 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 78400977300 in words is "seventy-eight billion, four hundred million, nine hundred seventy-seven thousand, three hundred".