830073720 has 320 divisors, whose sum is σ = 3017013120. Its totient is φ = 182552832.

The previous prime is 830073689. The next prime is 830073733. The reversal of 830073720 is 27370038.

It is a Cunningham number, because it is equal to 28811²-1.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12389127 + ... + 12389193.

It is an arithmetic number, because the mean of its divisors is an integer number (9428166).

Almost surely, 2^830073720 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 830073720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508506560).

830073720 is an abundant number, since it is smaller than the sum of its proper divisors (2186939400).

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

830073720 is a wasteful number, since it uses less digits than its factorization.

830073720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 830073720 is about 28810.9999826455. Note that the first 4 decimals coincide. The cubic root of 830073720 is about 939.8074601876.

The spelling of 830073720 in words is "eight hundred thirty million, seventy-three thousand, seven hundred twenty".