78837494400 has 480 divisors, whose sum is σ = 332496442080. Its totient is φ = 18019584000.

The previous prime is 78837494389. The next prime is 78837494413. The reversal of 78837494400 is 449473887.

78837494400 is a `hidden beast` number, since 7 + 8 + 83 + 74 + 94 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 59 ways as a sum of consecutive naturals, for example, 1792675 + ... + 1836125.

It is an arithmetic number, because the mean of its divisors is an integer number (692700921).

Almost surely, 2^78837494400 is an apocalyptic number.

78837494400 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 78837494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166248221040).

78837494400 is an abundant number, since it is smaller than the sum of its proper divisors (253658947680).

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

78837494400 is a wasteful number, since it uses less digits than its factorization.

78837494400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43494 (or 43468 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 78837494400 in words is "seventy-eight billion, eight hundred thirty-seven million, four hundred ninety-four thousand, four hundred".