77922096 has 80 divisors (see below), whose sum is σ = 237508608. Its totient is φ = 21542400.

The previous prime is 77922077. The next prime is 77922107. The reversal of 77922096 is 69022977.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6676 + ... + 14156.

Almost surely, 2^77922096 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 77922096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118754304).

77922096 is an abundant number, since it is smaller than the sum of its proper divisors (159586512).

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

77922096 is a wasteful number, since it uses less digits than its factorization.

77922096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7530 (or 7524 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The square root of 77922096 is about 8827.3493190198. The cubic root of 77922096 is about 427.1235741188.

The spelling of 77922096 in words is "seventy-seven million, nine hundred twenty-two thousand, ninety-six".