966077400 has 96 divisors (see below), whose sum is σ = 3075852240. Its totient is φ = 250652160.

The previous prime is 966077327. The next prime is 966077407. The reversal of 966077400 is 4770669.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966077407) 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, 442 + ... + 43958.

Almost surely, 2^966077400 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 966077400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537926120).

966077400 is an abundant number, since it is smaller than the sum of its proper divisors (2109774840).

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

966077400 is a wasteful number, since it uses less digits than its factorization.

966077400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43573 (or 43564 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 966077400 is about 31081.7856629892. The cubic root of 966077400 is about 988.5621408288.

The spelling of 966077400 in words is "nine hundred sixty-six million, seventy-seven thousand, four hundred".