7077157920 has 480 divisors, whose sum is σ = 28768836096. Its totient is φ = 1604966400.

The previous prime is 7077157909. The next prime is 7077157939. The reversal of 7077157920 is 297517707.

7077157920 is a `hidden beast` number, since 7 + 0 + 7 + 71 + 579 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16420105 + ... + 16420535.

Almost surely, 2^7077157920 is an apocalyptic number.

7077157920 is a gapful number since it is divisible by the number (70) 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 7077157920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14384418048).

7077157920 is an abundant number, since it is smaller than the sum of its proper divisors (21691678176).

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

7077157920 is a wasteful number, since it uses less digits than its factorization.

7077157920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 216090, while the sum is 45.

The square root of 7077157920 is about 84125.8457312614. The cubic root of 7077157920 is about 1919.9339821050.

The spelling of 7077157920 in words is "seven billion, seventy-seven million, one hundred fifty-seven thousand, nine hundred twenty".