7877150820 has 540 divisors, whose sum is σ = 31075628220. Its totient is φ = 1609977600.

The previous prime is 7877150803. The next prime is 7877150833. The reversal of 7877150820 is 280517787.

7877150820 is a `hidden beast` number, since 78 + 7 + 71 + 508 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1265509476 + 6611641344 = 35574^2 + 81312^2 .

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 179 ways as a sum of consecutive naturals, for example, 129133590 + ... + 129133650.

Almost surely, 2^7877150820 is an apocalyptic number.

7877150820 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 7877150820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15537814110).

7877150820 is an abundant number, since it is smaller than the sum of its proper divisors (23198477400).

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

7877150820 is a wasteful number, since it uses less digits than its factorization.

7877150820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 219520, while the sum is 45.

The square root of 7877150820 is about 88753.3144169839. The cubic root of 7877150820 is about 1989.7097141450.

The spelling of 7877150820 in words is "seven billion, eight hundred seventy-seven million, one hundred fifty thousand, eight hundred twenty".