78700101480 has 768 divisors, whose sum is σ = 350505792000. Its totient is φ = 15091937280.

The previous prime is 78700101451. The next prime is 78700101499. The reversal of 78700101480 is 8410100787.

78700101480 is a `hidden beast` number, since 7 + 8 + 70 + 0 + 101 + 480 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17655412 + ... + 17659868.

It is an arithmetic number, because the mean of its divisors is an integer number (456387750).

Almost surely, 2^78700101480 is an apocalyptic number.

78700101480 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 78700101480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175252896000).

78700101480 is an abundant number, since it is smaller than the sum of its proper divisors (271805690520).

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

78700101480 is a wasteful number, since it uses less digits than its factorization.

78700101480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4519 (or 4498 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The spelling of 78700101480 in words is "seventy-eight billion, seven hundred million, one hundred one thousand, four hundred eighty".