69792480 has 144 divisors (see below), whose sum is σ = 252265104. Its totient is φ = 17510400.

The previous prime is 69792461. The next prime is 69792523. The reversal of 69792480 is 8429796.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23055 + ... + 25905.

It is an arithmetic number, because the mean of its divisors is an integer number (1751841).

Almost surely, 2^69792480 is an apocalyptic number.

69792480 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 69792480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126132552).

69792480 is an abundant number, since it is smaller than the sum of its proper divisors (182472624).

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

69792480 is a wasteful number, since it uses less digits than its factorization.

69792480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2889 (or 2878 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 69792480 is about 8354.1893682152. The cubic root of 69792480 is about 411.7208653765.

The spelling of 69792480 in words is "sixty-nine million, seven hundred ninety-two thousand, four hundred eighty".