76801632 has 96 divisors (see below), whose sum is σ = 210760704. Its totient is φ = 24460800.

The previous prime is 76801607. The next prime is 76801633. The reversal of 76801632 is 23610867.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 76801593 and 76801602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76801633) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 389758 + ... + 389954.

It is an arithmetic number, because the mean of its divisors is an integer number (2195424).

Almost surely, 2^76801632 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 76801632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105380352).

76801632 is an abundant number, since it is smaller than the sum of its proper divisors (133959072).

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

76801632 is a wasteful number, since it uses less digits than its factorization.

76801632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 76801632 is about 8763.6540324228. The cubic root of 76801632 is about 425.0664385177.

The spelling of 76801632 in words is "seventy-six million, eight hundred one thousand, six hundred thirty-two".