78394982400 has 1152 divisors, whose sum is σ = 338055744000. Its totient is φ = 17340825600.

The previous prime is 78394982389. The next prime is 78394982417. The reversal of 78394982400 is 428949387.

78394982400 is a `hidden beast` number, since 7 + 8 + 394 + 9 + 8 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×78394982400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 2528870385 + ... + 2528870415.

Almost surely, 2^78394982400 is an apocalyptic number.

78394982400 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 78394982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169027872000).

78394982400 is an abundant number, since it is smaller than the sum of its proper divisors (259660761600).

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

78394982400 is an equidigital number, since it uses as much as digits as its factorization.

78394982400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 78394982400 in words is "seventy-eight billion, three hundred ninety-four million, nine hundred eighty-two thousand, four hundred".