83407764 has 48 divisors (see below), whose sum is σ = 215502336. Its totient is φ = 24895200.

The previous prime is 83407759. The next prime is 83407771. The reversal of 83407764 is 46770438.

It is a happy number.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

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, 4129 + ... + 13559.

It is an arithmetic number, because the mean of its divisors is an integer number (4489632).

Almost surely, 2^83407764 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 83407764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107751168).

83407764 is an abundant number, since it is smaller than the sum of its proper divisors (132094572).

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

83407764 is a wasteful number, since it uses less digits than its factorization.

83407764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9516 (or 9514 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 83407764 is about 9132.7851173670. The cubic root of 83407764 is about 436.9202360235.

The spelling of 83407764 in words is "eighty-three million, four hundred seven thousand, seven hundred sixty-four".