87076823040 has 224 divisors, whose sum is σ = 309591516960. Its totient is φ = 23220191232.

The previous prime is 87076822979. The next prime is 87076823051. The reversal of 87076823040 is 4032867078.

It is a happy number.

It is a super-2 number, since 2×87076823040² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1066552 + ... + 1145288.

Almost surely, 2^87076823040 is an apocalyptic number.

87076823040 is a gapful number since it is divisible by the number (80) 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 87076823040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154795758480).

87076823040 is an abundant number, since it is smaller than the sum of its proper divisors (222514693920).

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

87076823040 is an equidigital number, since it uses as much as digits as its factorization.

87076823040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78777 (or 78747 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

It can be divided in two parts, 87076 and 823040, that added together give a square (910116 = 954²).

The spelling of 87076823040 in words is "eighty-seven billion, seventy-six million, eight hundred twenty-three thousand, forty".