78142780800 has 288 divisors, whose sum is σ = 318665221680. Its totient is φ = 17861160960.

The previous prime is 78142780789. The next prime is 78142780801. The reversal of 78142780800 is 808724187.

78142780800 is a `hidden beast` number, since 78 + 1 + 427 + 80 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×78142780800² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (78142780801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7794 + ... + 395406.

Almost surely, 2^78142780800 is an apocalyptic number.

78142780800 is a gapful number since it is divisible by the number (70) 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 78142780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159332610840).

78142780800 is an abundant number, since it is smaller than the sum of its proper divisors (240522440880).

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

78142780800 is a wasteful number, since it uses less digits than its factorization.

78142780800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387650 (or 387630 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The spelling of 78142780800 in words is "seventy-eight billion, one hundred forty-two million, seven hundred eighty thousand, eight hundred".