77213892 has 72 divisors (see below), whose sum is σ = 213443776. Its totient is φ = 21280896.

The previous prime is 77213887. The next prime is 77213897. The reversal of 77213892 is 29831277.

It is an interprime number because it is at equal distance from previous prime (77213887) and next prime (77213897).

It is a self number, because there is not a number n which added to its sum of digits gives 77213892.

It is not an unprimeable number, because it can be changed into a prime (77213897) 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, 70098 + ... + 71190.

Almost surely, 2^77213892 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 77213892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106721888).

77213892 is an abundant number, since it is smaller than the sum of its proper divisors (136229884).

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

77213892 is a wasteful number, since it uses less digits than its factorization.

77213892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1134 counting only the distinct ones).

The product of its digits is 42336, while the sum is 39.

The square root of 77213892 is about 8787.1435631837. The cubic root of 77213892 is about 425.8256466516.

The spelling of 77213892 in words is "seventy-seven million, two hundred thirteen thousand, eight hundred ninety-two".