76862193408 has 1620 divisors, whose sum is σ = 327427791768. Its totient is φ = 17627258880.

The previous prime is 76862193371. The next prime is 76862193469. The reversal of 76862193408 is 80439126867.

76862193408 is a `hidden beast` number, since 7 + 6 + 8 + 621 + 9 + 3 + 4 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 3341834485 + ... + 3341834507.

Almost surely, 2^76862193408 is an apocalyptic number.

76862193408 is a gapful number since it is divisible by the number (78) 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 76862193408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163713895884).

76862193408 is an abundant number, since it is smaller than the sum of its proper divisors (250565598360).

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

76862193408 is a wasteful number, since it uses less digits than its factorization.

76862193408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 76862193408 in words is "seventy-six billion, eight hundred sixty-two million, one hundred ninety-three thousand, four hundred eight".