78024492700 has 144 divisors (see below), whose sum is σ = 211311475200. Its totient is φ = 24294009600.

The previous prime is 78024492673. The next prime is 78024492739. The reversal of 78024492700 is 729442087.

It is a super-2 number, since 2×78024492700² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8226561 + ... + 8236039.

It is an arithmetic number, because the mean of its divisors is an integer number (1467440800).

Almost surely, 2^78024492700 is an apocalyptic number.

78024492700 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 78024492700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105655737600).

78024492700 is an abundant number, since it is smaller than the sum of its proper divisors (133286982500).

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

78024492700 is a wasteful number, since it uses less digits than its factorization.

78024492700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10580 (or 10573 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 43.

The spelling of 78024492700 in words is "seventy-eight billion, twenty-four million, four hundred ninety-two thousand, seven hundred".