612774720 has 280 divisors, whose sum is σ = 2230550784. Its totient is φ = 159611904.

The previous prime is 612774713. The next prime is 612774731. The reversal of 612774720 is 27477216.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1217989 + ... + 1218491.

Almost surely, 2^612774720 is an apocalyptic number.

612774720 is a gapful number since it is divisible by the number (60) 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 612774720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115275392).

612774720 is an abundant number, since it is smaller than the sum of its proper divisors (1617776064).

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

612774720 is a wasteful number, since it uses less digits than its factorization.

612774720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 612774720 is about 24754.2869014642. The cubic root of 612774720 is about 849.3765763168.

The spelling of 612774720 in words is "six hundred twelve million, seven hundred seventy-four thousand, seven hundred twenty".