978733720 has 64 divisors (see below), whose sum is σ = 2304288000. Its totient is φ = 373431168.

The previous prime is 978733711. The next prime is 978733729. The reversal of 978733720 is 27337879.

It is an interprime number because it is at equal distance from previous prime (978733711) and next prime (978733729).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (978733729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 384211 + ... + 386749.

It is an arithmetic number, because the mean of its divisors is an integer number (36004500).

Almost surely, 2^978733720 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 978733720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152144000).

978733720 is an abundant number, since it is smaller than the sum of its proper divisors (1325554280).

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

978733720 is a wasteful number, since it uses less digits than its factorization.

978733720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2992 (or 2988 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 46.

The square root of 978733720 is about 31284.7202320877. The cubic root of 978733720 is about 992.8603872414.

The spelling of 978733720 in words is "nine hundred seventy-eight million, seven hundred thirty-three thousand, seven hundred twenty".