78204672 has 216 divisors, whose sum is σ = 278261984. Its totient is φ = 20570112.

The previous prime is 78204667. The next prime is 78204673. The reversal of 78204672 is 27640287.

It is a super-2 number, since 2×78204672² = 12231941445255168, which contains 22 as substring.

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 (78204673) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209478 + ... + 209850.

Almost surely, 2^78204672 is an apocalyptic number.

78204672 is a gapful number since it is divisible by the number (72) 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 78204672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139130992).

78204672 is an abundant number, since it is smaller than the sum of its proper divisors (200057312).

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

78204672 is a wasteful number, since it uses less digits than its factorization.

78204672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 398 counting only the distinct ones).

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

The square root of 78204672 is about 8843.3405452917. The cubic root of 78204672 is about 427.6392569819.

The spelling of 78204672 in words is "seventy-eight million, two hundred four thousand, six hundred seventy-two".