964877760 has 672 divisors, whose sum is σ = 4374489600. Its totient is φ = 189112320.

The previous prime is 964877699. The next prime is 964877783. The reversal of 964877760 is 67778469.

964877760 is a `hidden beast` number, since 96 + 487 + 7 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 964877697 and 964877706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4213326 + ... + 4213554.

Almost surely, 2^964877760 is an apocalyptic number.

964877760 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 964877760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2187244800).

964877760 is an abundant number, since it is smaller than the sum of its proper divisors (3409611840).

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

964877760 is a wasteful number, since it uses less digits than its factorization.

964877760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The square root of 964877760 is about 31062.4815492903. The cubic root of 964877760 is about 988.1527844278.

The spelling of 964877760 in words is "nine hundred sixty-four million, eight hundred seventy-seven thousand, seven hundred sixty".