78264304300 has 216 divisors, whose sum is σ = 217713992496. Its totient is φ = 24192483840.

The previous prime is 78264304273. The next prime is 78264304337. The reversal of 78264304300 is 340346287.

It is a happy number.

It is a super-2 number, since 2×78264304300² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 78264304300.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2724814 + ... + 2753386.

Almost surely, 2^78264304300 is an apocalyptic number.

78264304300 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 78264304300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108856996248).

78264304300 is an abundant number, since it is smaller than the sum of its proper divisors (139449688196).

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

78264304300 is a wasteful number, since it uses less digits than its factorization.

78264304300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28657 (or 28643 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 37.

The spelling of 78264304300 in words is "seventy-eight billion, two hundred sixty-four million, three hundred four thousand, three hundred".