78208992 has 72 divisors (see below), whose sum is σ = 223272504. Its totient is φ = 25968384.

The previous prime is 78208981. The next prime is 78209023. The reversal of 78208992 is 29980287.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×78208992² = 12233292859312128, which 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 11 ways as a sum of consecutive naturals, for example, 127278 + ... + 127890.

It is an arithmetic number, because the mean of its divisors is an integer number (3101007).

Almost surely, 2^78208992 is an apocalyptic number.

78208992 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 78208992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111636252).

78208992 is an abundant number, since it is smaller than the sum of its proper divisors (145063512).

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

78208992 is a wasteful number, since it uses less digits than its factorization.

78208992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 78208992 is about 8843.5847935099. The cubic root of 78208992 is about 427.6471310536.

The spelling of 78208992 in words is "seventy-eight million, two hundred eight thousand, nine hundred ninety-two".