78937632 has 96 divisors (see below), whose sum is σ = 231860160. Its totient is φ = 26127360.

The previous prime is 78937631. The next prime is 78937643. The reversal of 78937632 is 23673987.

It is a happy number.

78937632 is a `hidden beast` number, since 7 + 8 + 9 + 3 + 7 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×78937632² = 12462299491534848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78937631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182088 + ... + 182520.

It is an arithmetic number, because the mean of its divisors is an integer number (2415210).

Almost surely, 2^78937632 is an apocalyptic number.

78937632 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 78937632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115930080).

78937632 is an abundant number, since it is smaller than the sum of its proper divisors (152922528).

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

78937632 is a wasteful number, since it uses less digits than its factorization.

78937632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 649 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 78937632 is about 8884.6852504745. The cubic root of 78937632 is about 428.9710968840.

The spelling of 78937632 in words is "seventy-eight million, nine hundred thirty-seven thousand, six hundred thirty-two".