84762720 has 192 divisors, whose sum is σ = 339171840. Its totient is φ = 19367424.

The previous prime is 84762719. The next prime is 84762749. The reversal of 84762720 is 2726748.

84762720 is a `hidden beast` number, since 8 + 4 + 7 + 627 + 20 = 666.

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 31 ways as a sum of consecutive naturals, for example, 28839 + ... + 31641.

It is an arithmetic number, because the mean of its divisors is an integer number (1766520).

Almost surely, 2^84762720 is an apocalyptic number.

84762720 is a gapful number since it is divisible by the number (80) 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 84762720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169585920).

84762720 is an abundant number, since it is smaller than the sum of its proper divisors (254409120).

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

84762720 is a wasteful number, since it uses less digits than its factorization.

84762720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2834 (or 2820 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 84762720 is about 9206.6671494086. The cubic root of 84762720 is about 439.2734566139.

The spelling of 84762720 in words is "eighty-four million, seven hundred sixty-two thousand, seven hundred twenty".