961277760 has 448 divisors, whose sum is σ = 3632240640. Its totient is φ = 238878720.

The previous prime is 961277749. The next prime is 961277803. The reversal of 961277760 is 67772169.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9910032 + ... + 9910128.

It is an arithmetic number, because the mean of its divisors is an integer number (8107680).

Almost surely, 2^961277760 is an apocalyptic number.

961277760 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 961277760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816120320).

961277760 is an abundant number, since it is smaller than the sum of its proper divisors (2670962880).

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

961277760 is a wasteful number, since it uses less digits than its factorization.

961277760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The square root of 961277760 is about 31004.4796763306. The cubic root of 961277760 is about 986.9223061320.

The spelling of 961277760 in words is "nine hundred sixty-one million, two hundred seventy-seven thousand, seven hundred sixty".