80902490760 has 768 divisors, whose sum is σ = 334152000000. Its totient is φ = 16866662400.

The previous prime is 80902490759. The next prime is 80902490761. The reversal of 80902490760 is 6709420908.

It is a happy number.

80902490760 is a `hidden beast` number, since 8 + 0 + 90 + 2 + 490 + 76 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (80902490759) and next prime (80902490761).

It is a super-2 number, since 2×80902490760² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (80902490761) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 162128991 + ... + 162129489.

It is an arithmetic number, because the mean of its divisors is an integer number (435093750).

Almost surely, 2^80902490760 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 80902490760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167076000000).

80902490760 is an abundant number, since it is smaller than the sum of its proper divisors (253249509240).

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

80902490760 is a wasteful number, since it uses less digits than its factorization.

80902490760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 80902490760 in words is "eighty billion, nine hundred two million, four hundred ninety thousand, seven hundred sixty".