76078062000 has 320 divisors, whose sum is σ = 276380881920. Its totient is φ = 20000736000.

The previous prime is 76078061987. The next prime is 76078062001. The reversal of 76078062000 is 26087067.

It is a super-4 number, since 4×76078062000⁴ (a number of 45 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (76078062001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3824079 + ... + 3843921.

It is an arithmetic number, because the mean of its divisors is an integer number (863690256).

Almost surely, 2^76078062000 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 76078062000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138190440960).

76078062000 is an abundant number, since it is smaller than the sum of its proper divisors (200302819920).

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

76078062000 is a wasteful number, since it uses less digits than its factorization.

76078062000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19946 (or 19924 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 76078062000 in words is "seventy-six billion, seventy-eight million, sixty-two thousand".