978792672 has 384 divisors, whose sum is σ = 3243276288. Its totient is φ = 254361600.

The previous prime is 978792643. The next prime is 978792677. The reversal of 978792672 is 276297879.

Its product of digits (5334336) is a multiple of the sum of its prime factors (162).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (978792677) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20825353 + ... + 20825399.

It is an arithmetic number, because the mean of its divisors is an integer number (8446032).

Almost surely, 2^978792672 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 978792672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621638144).

978792672 is an abundant number, since it is smaller than the sum of its proper divisors (2264483616).

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

978792672 is a wasteful number, since it uses less digits than its factorization.

978792672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 154 counting only the distinct ones).

The product of its digits is 5334336, while the sum is 57.

The square root of 978792672 is about 31285.6624030881. The cubic root of 978792672 is about 992.8803211380.

The spelling of 978792672 in words is "nine hundred seventy-eight million, seven hundred ninety-two thousand, six hundred seventy-two".