78476400 has 90 divisors (see below), whose sum is σ = 272347400. Its totient is φ = 20926080.

The previous prime is 78476399. The next prime is 78476401. The reversal of 78476400 is 467487.

It is a happy number.

78476400 is a `hidden beast` number, since 7 + 8 + 4 + 7 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (78476399) and next prime (78476401).

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78476401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7300 + ... + 14499.

Almost surely, 2^78476400 is an apocalyptic number.

It is an amenable number.

78476400 is an abundant number, since it is smaller than the sum of its proper divisors (193871000).

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

78476400 is a wasteful number, since it uses less digits than its factorization.

78476400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21823 (or 21809 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 78476400 is about 8858.6906481714. The cubic root of 78476400 is about 428.1339726750.

The spelling of 78476400 in words is "seventy-eight million, four hundred seventy-six thousand, four hundred".