77158490220 has 192 divisors, whose sum is σ = 274462755840. Its totient is φ = 17628420096.

The previous prime is 77158490207. The next prime is 77158490261. The reversal of 77158490220 is 2209485177.

It is a happy number.

77158490220 is a `hidden beast` number, since 7 + 7 + 158 + 490 + 2 + 2 + 0 = 666.

It is a super-2 number, since 2×77158490220² (a number of 23 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 17056879 + ... + 17061401.

It is an arithmetic number, because the mean of its divisors is an integer number (1429493520).

Almost surely, 2^77158490220 is an apocalyptic number.

77158490220 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 77158490220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137231377920).

77158490220 is an abundant number, since it is smaller than the sum of its proper divisors (197304265620).

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

77158490220 is a wasteful number, since it uses less digits than its factorization.

77158490220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9061 (or 9053 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 77158490220 in words is "seventy-seven billion, one hundred fifty-eight million, four hundred ninety thousand, two hundred twenty".