978737760 has 864 divisors, whose sum is σ = 4611533472. Its totient is φ = 185794560.

The previous prime is 978737759. The next prime is 978737761. The reversal of 978737760 is 67737879.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (978737759) and next prime (978737761).

It is a junction number, because it is equal to n+sod(n) for n = 978737697 and 978737706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (978737761) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10090032 + ... + 10090128.

It is an arithmetic number, because the mean of its divisors is an integer number (5337423).

Almost surely, 2^978737760 is an apocalyptic number.

978737760 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 978737760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2305766736).

978737760 is an abundant number, since it is smaller than the sum of its proper divisors (3632795712).

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

978737760 is a wasteful number, since it uses less digits than its factorization.

978737760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 3111696, while the sum is 54.

The square root of 978737760 is about 31284.7848002827. The cubic root of 978737760 is about 992.8617533434.

The spelling of 978737760 in words is "nine hundred seventy-eight million, seven hundred thirty-seven thousand, seven hundred sixty".