916407800 has 144 divisors (see below), whose sum is σ = 2704146120. Its totient is φ = 285600000.

The previous prime is 916407781. The next prime is 916407803. The reversal of 916407800 is 8704619.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (916407803) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 103550 + ... + 112050.

Almost surely, 2^916407800 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 916407800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352073060).

916407800 is an abundant number, since it is smaller than the sum of its proper divisors (1787738320).

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

916407800 is a wasteful number, since it uses less digits than its factorization.

916407800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8542 (or 8526 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 916407800 is about 30272.2281968143. The cubic root of 916407800 is about 971.3213296097.

The spelling of 916407800 in words is "nine hundred sixteen million, four hundred seven thousand, eight hundred".