78733817400 has 576 divisors, whose sum is σ = 291088512000. Its totient is φ = 17548876800.

The previous prime is 78733817377. The next prime is 78733817441. The reversal of 78733817400 is 471833787.

It is a happy number.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 78733817400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 253163245 + ... + 253163555.

It is an arithmetic number, because the mean of its divisors is an integer number (505362000).

Almost surely, 2^78733817400 is an apocalyptic number.

78733817400 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 78733817400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145544256000).

78733817400 is an abundant number, since it is smaller than the sum of its proper divisors (212354694600).

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

78733817400 is a wasteful number, since it uses less digits than its factorization.

78733817400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 48.

The spelling of 78733817400 in words is "seventy-eight billion, seven hundred thirty-three million, eight hundred seventeen thousand, four hundred".