77998032 has 80 divisors (see below), whose sum is σ = 255876480. Its totient is φ = 22284288.

The previous prime is 77998027. The next prime is 77998061. The reversal of 77998032 is 23089977.

It is a congruent number.

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, 9873 + ... + 15920.

It is an arithmetic number, because the mean of its divisors is an integer number (3198456).

Almost surely, 2^77998032 is an apocalyptic number.

77998032 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

77998032 is an abundant number, since it is smaller than the sum of its proper divisors (177878448).

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

77998032 is a wasteful number, since it uses less digits than its factorization.

77998032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25817 (or 25805 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 77998032 is about 8831.6494495649. The cubic root of 77998032 is about 427.2622747241.

The spelling of 77998032 in words is "seventy-seven million, nine hundred ninety-eight thousand, thirty-two".