77476140 has 144 divisors (see below), whose sum is σ = 284461632. Its totient is φ = 16662528.

The previous prime is 77476127. The next prime is 77476159. The reversal of 77476140 is 4167477.

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

It is a junction number, because it is equal to n+sod(n) for n = 77476095 and 77476104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19612 + ... + 23228.

It is an arithmetic number, because the mean of its divisors is an integer number (1975428).

Almost surely, 2^77476140 is an apocalyptic number.

77476140 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 77476140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142230816).

77476140 is an abundant number, since it is smaller than the sum of its proper divisors (206985492).

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

77476140 is a wasteful number, since it uses less digits than its factorization.

77476140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3656 (or 3651 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 77476140 is about 8802.0531695736. The cubic root of 77476140 is about 426.3071909800.

The spelling of 77476140 in words is "seventy-seven million, four hundred seventy-six thousand, one hundred forty".