78263798400 has 384 divisors, whose sum is σ = 292533062400. Its totient is φ = 20425236480.

The previous prime is 78263798359. The next prime is 78263798419. The reversal of 78263798400 is 489736287.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×78263798400² (a number of 23 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 4051164 + ... + 4070436.

It is an arithmetic number, because the mean of its divisors is an integer number (761804850).

Almost surely, 2^78263798400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78263798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146266531200).

78263798400 is an abundant number, since it is smaller than the sum of its proper divisors (214269264000).

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

78263798400 is a wasteful number, since it uses less digits than its factorization.

78263798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19353 (or 19330 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 78263798400 in words is "seventy-eight billion, two hundred sixty-three million, seven hundred ninety-eight thousand, four hundred".