78296456400 has 120 divisors (see below), whose sum is σ = 253831774560. Its totient is φ = 20627473920.

The previous prime is 78296456341. The next prime is 78296456423. The reversal of 78296456400 is 465469287.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×78296456400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 293455 + ... + 492654.

It is an arithmetic number, because the mean of its divisors is an integer number (2115264788).

Almost surely, 2^78296456400 is an apocalyptic number.

It is an amenable number.

78296456400 is an abundant number, since it is smaller than the sum of its proper divisors (175535318160).

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

78296456400 is a wasteful number, since it uses less digits than its factorization.

78296456400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786213 (or 786202 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 78296456400 in words is "seventy-eight billion, two hundred ninety-six million, four hundred fifty-six thousand, four hundred".