77032032 has 192 divisors, whose sum is σ = 267369984. Its totient is φ = 18800640.

The previous prime is 77032027. The next prime is 77032063. The reversal of 77032032 is 23023077.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 77031993 and 77032011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125358 + ... + 125970.

It is an arithmetic number, because the mean of its divisors is an integer number (1392552).

Almost surely, 2^77032032 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 77032032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133684992).

77032032 is an abundant number, since it is smaller than the sum of its proper divisors (190337952).

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

77032032 is a wasteful number, since it uses less digits than its factorization.

77032032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 24.

The square root of 77032032 is about 8776.7893902041. The cubic root of 77032032 is about 425.4910715823.

The spelling of 77032032 in words is "seventy-seven million, thirty-two thousand, thirty-two".