78350976 has 192 divisors, whose sum is σ = 256183200. Its totient is φ = 23639040.

The previous prime is 78350963. The next prime is 78350983. The reversal of 78350976 is 67905387.

It is a happy number.

78350976 is a `hidden beast` number, since 78 + 3 + 509 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×78350976² = 12277750880305152, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 342030 + ... + 342258.

Almost surely, 2^78350976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78350976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128091600).

78350976 is an abundant number, since it is smaller than the sum of its proper divisors (177832224).

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

78350976 is a wasteful number, since it uses less digits than its factorization.

78350976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 78350976 is about 8851.6086673553. The cubic root of 78350976 is about 427.9057643289.

The spelling of 78350976 in words is "seventy-eight million, three hundred fifty thousand, nine hundred seventy-six".