730978920 has 384 divisors, whose sum is σ = 2919421440. Its totient is φ = 154828800.

The previous prime is 730978891. The next prime is 730978931. The reversal of 730978920 is 29879037.

730978920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 4840845 + ... + 4840995.

It is an arithmetic number, because the mean of its divisors is an integer number (7602660).

Almost surely, 2^730978920 is an apocalyptic number.

730978920 is a gapful number since it is divisible by the number (70) 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 730978920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459710720).

730978920 is an abundant number, since it is smaller than the sum of its proper divisors (2188442520).

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

730978920 is a wasteful number, since it uses less digits than its factorization.

730978920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 730978920 is about 27036.6218303989. The cubic root of 730978920 is about 900.8136345918.

The spelling of 730978920 in words is "seven hundred thirty million, nine hundred seventy-eight thousand, nine hundred twenty".