55077792 has 96 divisors (see below), whose sum is σ = 180278784. Its totient is φ = 14304000.

The previous prime is 55077791. The next prime is 55077817. The reversal of 55077792 is 29777055.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (55077791) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3667 + ... + 11117.

It is an arithmetic number, because the mean of its divisors is an integer number (1877904).

Almost surely, 2^55077792 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 55077792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90139392).

55077792 is an abundant number, since it is smaller than the sum of its proper divisors (125200992).

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

55077792 is a wasteful number, since it uses less digits than its factorization.

55077792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7482 (or 7474 counting only the distinct ones).

The product of its (nonzero) digits is 154350, while the sum is 42.

The square root of 55077792 is about 7421.4413694376. The cubic root of 55077792 is about 380.4744581422.

The spelling of 55077792 in words is "fifty-five million, seventy-seven thousand, seven hundred ninety-two".