78022857830400 has 3120 divisors, whose sum is σ = 351467941397760. Its totient is φ = 16711955251200.

The previous prime is 78022857830371. The next prime is 78022857830417. The reversal of 78022857830400 is 403875822087.

78022857830400 is a `hidden beast` number, since 7 + 8 + 0 + 2 + 28 + 578 + 3 + 0 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 118037606070 + ... + 118037606730.

Almost surely, 2^{78022857830400} is an apocalyptic number.

78022857830400 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 78022857830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175733970698880).

78022857830400 is an abundant number, since it is smaller than the sum of its proper divisors (273445083567360).

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

78022857830400 is a wasteful number, since it uses less digits than its factorization.

78022857830400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 78022857830400 in words is "seventy-eight trillion, twenty-two billion, eight hundred fifty-seven million, eight hundred thirty thousand, four hundred".