834722400 has 72 divisors (see below), whose sum is σ = 2717029224. Its totient is φ = 222592000.

The previous prime is 834722393. The next prime is 834722411. The reversal of 834722400 is 4227438.

It is a super-2 number, since 2×834722400² = 1393522970123520000, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 171501 + ... + 176300.

It is an arithmetic number, because the mean of its divisors is an integer number (37736517).

Almost surely, 2^834722400 is an apocalyptic number.

834722400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

834722400 is an abundant number, since it is smaller than the sum of its proper divisors (1882306824).

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

834722400 is a wasteful number, since it uses less digits than its factorization.

834722400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347824 (or 347811 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 834722400 is about 28891.5627822380. The cubic root of 834722400 is about 941.5586033441.

Adding to 834722400 its reverse (4227438), we get a palindrome (838949838).

The spelling of 834722400 in words is "eight hundred thirty-four million, seven hundred twenty-two thousand, four hundred".